Jannat, Firdous Ee; Nath, Rajat Kanti Common neighbourhood spectrum and energy of commuting conjugacy class graph. (English) Zbl 1527.05088 J. Algebr. Syst. 12, No. 2, 301-326 (2025). MSC: 05C25 05C50 20D99 PDFBibTeX XMLCite \textit{F. E. Jannat} and \textit{R. K. Nath}, J. Algebr. Syst. 12, No. 2, 301--326 (2025; Zbl 1527.05088) Full Text: DOI arXiv
Douvropoulos, Theo; Lewis, Joel Brewster Hurwitz orbits on reflection factorizations of parabolic quasi-Coxeter elements. (English) Zbl 07806462 Electron. J. Comb. 31, No. 1, Research Paper P1.27, 17 p. (2024). Reviewer: Egle Bettio (Venezia) MSC: 20F36 20F55 05E18 PDFBibTeX XMLCite \textit{T. Douvropoulos} and \textit{J. B. Lewis}, Electron. J. Comb. 31, No. 1, Research Paper P1.27, 17 p. (2024; Zbl 07806462) Full Text: DOI
Rezaei, Mehdi; Foruzanfar, Zeinab The commuting conjugacy class graphs of finite groups with a given property. (English) Zbl 07803153 Georgian Math. J. 31, No. 1, 121-127 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20E45 05C25 PDFBibTeX XMLCite \textit{M. Rezaei} and \textit{Z. Foruzanfar}, Georgian Math. J. 31, No. 1, 121--127 (2024; Zbl 07803153) Full Text: DOI
Adin, Ron M.; Hegedüs, Pál; Roichman, Yuval Higher Lie characters and cyclic descent extension on conjugacy classes. (English) Zbl 07811536 Algebr. Comb. 6, No. 6, 1557-1591 (2023). MSC: 05E10 05E05 20B30 20C30 17B01 PDFBibTeX XMLCite \textit{R. M. Adin} et al., Algebr. Comb. 6, No. 6, 1557--1591 (2023; Zbl 07811536) Full Text: DOI
Pankov, Mark; Petelczyc, Krzysztof; Żynel, Mariusz Automorphisms of graphs corresponding to conjugacy classes of finite-rank self-adjoint operators. (English) Zbl 1518.05211 Linear Algebra Appl. 674, 192-207 (2023). MSC: 05E18 05C25 47B15 81P10 14M15 PDFBibTeX XMLCite \textit{M. Pankov} et al., Linear Algebra Appl. 674, 192--207 (2023; Zbl 1518.05211) Full Text: DOI arXiv
Lyman, Rylee Alanza On Whitehead’s cut vertex lemma. (English) Zbl 1522.20093 J. Group Theory 26, No. 4, 665-675 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20E05 20F34 05C25 20E08 20E45 PDFBibTeX XMLCite \textit{R. A. Lyman}, J. Group Theory 26, No. 4, 665--675 (2023; Zbl 1522.20093) Full Text: DOI arXiv
Pezzott, Julio C. M.; Nakaoka, Irene N. A note on the number of centralizers in finite AC-groups. (English) Zbl 1522.20089 J. Algebra Appl. 22, No. 7, Article ID 2350142, 10 p. (2023). Reviewer: Andrea Lucchini (Padova) MSC: 20D60 05C25 20E34 PDFBibTeX XMLCite \textit{J. C. M. Pezzott} and \textit{I. N. Nakaoka}, J. Algebra Appl. 22, No. 7, Article ID 2350142, 10 p. (2023; Zbl 1522.20089) Full Text: DOI
Bhowal, Parthajit; Cameron, Peter J.; Nath, Rajat Kanti; Sambale, Benjamin Solvable conjugacy class graph of groups. (English) Zbl 1521.20063 Discrete Math. 346, No. 8, Article ID 113467, 8 p. (2023). Reviewer: Erich W. Ellers (Toronto) MSC: 20E45 20D60 20F16 05C25 PDFBibTeX XMLCite \textit{P. Bhowal} et al., Discrete Math. 346, No. 8, Article ID 113467, 8 p. (2023; Zbl 1521.20063) Full Text: DOI arXiv
Simion, Iulian I. Products of conjugacy classes in simple algebraic groups in terms of diagrams. (English) Zbl 1512.20168 Commun. Algebra 51, No. 6, 2334-2348 (2023). MSC: 20G07 20E45 05E16 PDFBibTeX XMLCite \textit{I. I. Simion}, Commun. Algebra 51, No. 6, 2334--2348 (2023; Zbl 1512.20168) Full Text: DOI arXiv
Rossmann, Tobias Enumerating conjugacy classes of graphical groups over finite fields. (English) Zbl 07738395 Bull. Lond. Math. Soc. 54, No. 5, 1923-1943 (2022). Reviewer: Mima Stanojkovski (Trento) MSC: 20E45 20D15 05A15 05C25 05C31 PDFBibTeX XMLCite \textit{T. Rossmann}, Bull. Lond. Math. Soc. 54, No. 5, 1923--1943 (2022; Zbl 07738395) Full Text: DOI arXiv OA License
Adin, Ron M.; Hegedüs, Pál; Roichman, Yuval Higher Lie characters and cyclic descent extension on conjugacy classes. (English) Zbl 1515.05192 Sémin. Lothar. Comb. 86B, Article 80, 12 p. (2022). MSC: 05E10 05A05 15A72 PDFBibTeX XMLCite \textit{R. M. Adin} et al., Sémin. Lothar. Comb. 86B, Article 80, 12 p. (2022; Zbl 1515.05192) Full Text: arXiv Link
Bhowal, Parthajit; Nath, Rajat Kanti Genus of commuting conjugacy class graph of certain finite groups. (English) Zbl 1513.05183 Algebr. Struct. Appl. 9, No. 1, 93-108 (2022). MSC: 05C25 20D60 20E45 PDFBibTeX XMLCite \textit{P. Bhowal} and \textit{R. K. Nath}, Algebr. Struct. Appl. 9, No. 1, 93--108 (2022; Zbl 1513.05183)
Fulman, Jason; Kim, Gene B.; Lee, Sangchul Central limit theorem for peaks of a random permutation in a fixed conjugacy class of \(S_n\). (English) Zbl 1487.60052 Ann. Comb. 26, No. 1, 97-123 (2022). Reviewer: Alessandra Cauli (Torino) MSC: 60F05 05A15 05E05 60C05 05A05 05A10 PDFBibTeX XMLCite \textit{J. Fulman} et al., Ann. Comb. 26, No. 1, 97--123 (2022; Zbl 1487.60052) Full Text: DOI arXiv
Khoshnevis, D.; Mostaghim, Z. The divisibility graph for F-groups. (English) Zbl 07488499 Math. Notes 111, No. 2, 236-242 (2022). MSC: 20Dxx 05Cxx 20Exx PDFBibTeX XMLCite \textit{D. Khoshnevis} and \textit{Z. Mostaghim}, Math. Notes 111, No. 2, 236--242 (2022; Zbl 07488499) Full Text: DOI
Bhowal, Parthajit; Nath, Rajat Kanti Spectral aspects of commuting conjugacy class graph of finite groups. (English) Zbl 1513.05182 Algebr. Struct. Appl. 8, No. 2, 67-118 (2021). MSC: 05C25 05C50 20D60 PDFBibTeX XMLCite \textit{P. Bhowal} and \textit{R. K. Nath}, Algebr. Struct. Appl. 8, No. 2, 67--118 (2021; Zbl 1513.05182) Full Text: arXiv
Pankov, Mark; Petelczyc, Krzysztof; Żynel, Mariusz Generalized Grassmann graphs associated to conjugacy classes of finite-rank self-adjoint operators. (English) Zbl 1468.05309 Linear Algebra Appl. 627, 1-23 (2021). MSC: 05E18 05C60 47B15 81P10 51A10 15B57 47B49 14M17 PDFBibTeX XMLCite \textit{M. Pankov} et al., Linear Algebra Appl. 627, 1--23 (2021; Zbl 1468.05309) Full Text: DOI arXiv
Khalili Asboei, Alireza Characterization of \(\mathrm{PSL}(5,q)\) by its order and one conjugacy class size. (English) Zbl 1455.20015 Iran. J. Math. Sci. Inform. 15, No. 1, 35-40 (2020). MSC: 20D06 20E45 20D60 05C25 PDFBibTeX XMLCite \textit{A. Khalili Asboei}, Iran. J. Math. Sci. Inform. 15, No. 1, 35--40 (2020; Zbl 1455.20015) Full Text: Link
Hafezieh, Roghayeh; Spiga, Pablo An overview on the bipartite divisor graph for the set of irreducible character degrees. (English) Zbl 1455.05023 Rocky Mt. J. Math. 50, No. 6, 2073-2095 (2020). MSC: 05C25 05C75 20C15 20D60 PDFBibTeX XMLCite \textit{R. Hafezieh} and \textit{P. Spiga}, Rocky Mt. J. Math. 50, No. 6, 2073--2095 (2020; Zbl 1455.05023) Full Text: DOI arXiv Euclid
Moori, Jamshid; Rodrigues, Bernardo G.; Saeidi, Amin; Zandi, Seiran Designs from maximal subgroups and conjugacy classes of Ree groups. (English) Zbl 1484.20019 Adv. Math. Commun. 14, No. 4, 603-611 (2020). MSC: 20D06 05E18 05B05 20E18 20E45 PDFBibTeX XMLCite \textit{J. Moori} et al., Adv. Math. Commun. 14, No. 4, 603--611 (2020; Zbl 1484.20019) Full Text: DOI
Salahshour, Mohammad Ali; Ashrafi, Ali Reza Commuting conjugacy class graphs of finite groups. (English) Zbl 1463.20045 Algebr. Struct. Appl. 7, No. 2, 135-145 (2020). MSC: 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{M. A. Salahshour} and \textit{A. R. Ashrafi}, Algebr. Struct. Appl. 7, No. 2, 135--145 (2020; Zbl 1463.20045)
Salahshour, Mohammad Ali; Ashrafi, Ali Reza Commuting conjugacy class graph of finite CA-groups. (English) Zbl 1449.20006 Khayyam J. Math. 6, No. 1, 108-118 (2020). MSC: 20C15 20D15 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{M. A. Salahshour} and \textit{A. R. Ashrafi}, Khayyam J. Math. 6, No. 1, 108--118 (2020; Zbl 1449.20006) Full Text: DOI
Amparo, Elena; Vinroot, C. Ryan On the number of real classes in the finite projective linear and unitary groups. (English) Zbl 1444.20031 Glasg. Math. J. 62, No. 1, 93-107 (2020). Reviewer: Nan Ji-Zhu (Dalian) MSC: 20G40 20E45 05A15 05E16 PDFBibTeX XMLCite \textit{E. Amparo} and \textit{C. R. Vinroot}, Glasg. Math. J. 62, No. 1, 93--107 (2020; Zbl 1444.20031) Full Text: DOI arXiv
Nebe, Gabriele On conjugacy of diagonalizable integral matrices. (English) Zbl 1467.15029 Albanian J. Math. 13, 211-218 (2019). MSC: 15B36 15A20 11R65 05B20 05C50 PDFBibTeX XMLCite \textit{G. Nebe}, Albanian J. Math. 13, 211--218 (2019; Zbl 1467.15029) Full Text: arXiv Link
Khoshnevis, Danial; Mostaghim, Zohreh Some finite groups with divisibility graph containing no triangles. (English) Zbl 1463.05266 Algebr. Struct. Appl. 6, No. 2, 57-65 (2019). MSC: 05C25 20E45 20D60 PDFBibTeX XMLCite \textit{D. Khoshnevis} and \textit{Z. Mostaghim}, Algebr. Struct. Appl. 6, No. 2, 57--65 (2019; Zbl 1463.05266)
Moori, Jamshid; Rodrigues, Bernardo G.; Saeidi, Amin; Zandi, Seiran Some symmetric designs invariant under the small Ree groups. (English) Zbl 1476.20019 Commun. Algebra 47, No. 5, 2131-2148 (2019). MSC: 20D06 05E16 05B20 PDFBibTeX XMLCite \textit{J. Moori} et al., Commun. Algebra 47, No. 5, 2131--2148 (2019; Zbl 1476.20019) Full Text: DOI
Ashrafi, Ali Reza; Koorepazan-Moftakhar, Fatemeh On normal graph of a finite group. (English) Zbl 1499.20063 Filomat 32, No. 11, 4047-4059 (2018). MSC: 20D60 05C25 20C30 PDFBibTeX XMLCite \textit{A. R. Ashrafi} and \textit{F. Koorepazan-Moftakhar}, Filomat 32, No. 11, 4047--4059 (2018; Zbl 1499.20063) Full Text: DOI
Moori, Jamshid; Saeidi, Amin Some designs invariant under the Suzuki groups. (English) Zbl 1504.05048 Util. Math. 109, 105-114 (2018). MSC: 05B30 05E18 20D05 20D06 PDFBibTeX XMLCite \textit{J. Moori} and \textit{A. Saeidi}, Util. Math. 109, 105--114 (2018; Zbl 1504.05048)
Moori, Jamshid; Saeidi, Amin Constructing some designs invariant under \(\mathrm{PSL}_2(q)\), \(q\) even. (English) Zbl 1395.20011 Commun. Algebra 46, No. 1, 160-166 (2018). MSC: 20D05 05E15 05B05 20E28 20E45 PDFBibTeX XMLCite \textit{J. Moori} and \textit{A. Saeidi}, Commun. Algebra 46, No. 1, 160--166 (2018; Zbl 1395.20011) Full Text: DOI
Camina, Alan; Camina, Rachel One-prime power hypothesis for conjugacy class sizes. (English) Zbl 1446.20038 Int. J. Group Theory 6, No. 3, 12-19 (2017). MSC: 20D60 20E45 05C25 20D05 PDFBibTeX XMLCite \textit{A. Camina} and \textit{R. Camina}, Int. J. Group Theory 6, No. 3, 12--19 (2017; Zbl 1446.20038) Full Text: DOI
Shuaib, Umer On conjugacy classes of the homomorphic images of a certain Bianchi group. (English) Zbl 1463.20059 Kuwait J. Sci. 44, No. 2, 34-45 (2017). MSC: 20G40 05C25 20E45 PDFBibTeX XMLCite \textit{U. Shuaib}, Kuwait J. Sci. 44, No. 2, 34--45 (2017; Zbl 1463.20059) Full Text: Link
Mpono, Zwelethemba Triple generations and connected components of Brauer graphs in \({M_{24}}\). (English) Zbl 1399.20012 Southeast Asian Bull. Math. 41, No. 1, 65-89 (2017). MSC: 20D08 20F05 20C34 20E45 05C25 PDFBibTeX XMLCite \textit{Z. Mpono}, Southeast Asian Bull. Math. 41, No. 1, 65--89 (2017; Zbl 1399.20012)
Mohammadian, Abbas; Erfanian, A. On the nilpotent conjugacy class graph of groups. (English) Zbl 1385.05039 Note Mat. 37, No. 2, 77-90 (2017). MSC: 05C25 20E45 PDFBibTeX XMLCite \textit{A. Mohammadian} and \textit{A. Erfanian}, Note Mat. 37, No. 2, 77--90 (2017; Zbl 1385.05039) Full Text: DOI
Francis, Amanda E.; Humphries, Stephen P. Commutative Schur rings over symmetric groups. II: The case \(n = 6\). (English) Zbl 1428.20008 J. Algebra Comb. Discrete Struct. Appl. 3, No. 2, 61-80 (2016). MSC: 20C05 05E16 05C25 20B30 PDFBibTeX XMLCite \textit{A. E. Francis} and \textit{S. P. Humphries}, J. Algebra Comb. Discrete Struct. Appl. 3, No. 2, 61--80 (2016; Zbl 1428.20008) Full Text: arXiv
Arezoomand, M.; Taeri, B. Which elements of a finite group are non-vanishing? (English) Zbl 1373.20004 Bull. Iran. Math. Soc. 42, No. 5, 1097-1106 (2016). MSC: 20C15 05C25 20B25 20E45 20D60 PDFBibTeX XMLCite \textit{M. Arezoomand} and \textit{B. Taeri}, Bull. Iran. Math. Soc. 42, No. 5, 1097--1106 (2016; Zbl 1373.20004) Full Text: Link
Robati, S. M. The power graph on the conjugacy classes of a finite group. (English) Zbl 1374.20034 Acta Math. Hung. 148, No. 1, 109-116 (2016). Reviewer: Gábor Horváth (Debrecen) MSC: 20D60 05C25 20E45 PDFBibTeX XMLCite \textit{S. M. Robati}, Acta Math. Hung. 148, No. 1, 109--116 (2016; Zbl 1374.20034) Full Text: DOI
Hansson, Mikael The Bruhat order on conjugation-invariant sets of involutions in the symmetric group. (English) Zbl 1403.06001 J. Algebr. Comb. 44, No. 4, 849-862 (2016). MSC: 06A07 05E15 05E05 20B30 20F55 PDFBibTeX XMLCite \textit{M. Hansson}, J. Algebr. Comb. 44, No. 4, 849--862 (2016; Zbl 1403.06001) Full Text: DOI arXiv
Mohammadian, Abbas; Erfanian, Ahmad; Farrokhi D. G., Mohammad; Wilkens, Bettina Triangle-free commuting conjugacy class graphs. (English) Zbl 1352.20023 J. Group Theory 19, No. 6, 1049-1061 (2016). MSC: 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{A. Mohammadian} et al., J. Group Theory 19, No. 6, 1049--1061 (2016; Zbl 1352.20023) Full Text: DOI
Hansson, Mikael The Bruhat order on conjugation-invariant sets of involutions in the symmetric group. (English) Zbl 1346.05297 Nešetril, Jaroslav (ed.) et al., Extended abstracts of the eight European conference on combinatorics, graph theory and applications, EuroComb 2015, Bergen, Norway, August 31 – September 4, 2015. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 49, 3-10, electronic only (2015). MSC: 05E05 05E15 20B30 20F55 06A07 PDFBibTeX XMLCite \textit{M. Hansson}, Electron. Notes Discrete Math. 49, 3--10 (2015; Zbl 1346.05297) Full Text: DOI arXiv
Hansson, Mikael The Bruhat order on conjugation-invariant sets of involutions in the symmetric group. (English. French summary) Zbl 1335.05217 Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6–10, 2015. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 547-558 (2015). MSC: 05E15 05E05 20B30 20F55 06A07 PDFBibTeX XMLCite \textit{M. Hansson}, in: Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6--10, 2015. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 547--558 (2015; Zbl 1335.05217) Full Text: arXiv
Bianchi, Mariagrazia; Camina, Rachel D.; Herzog, Marcel; Pacifici, Emanuele Conjugacy classes of finite groups and graph regularity. (English) Zbl 1328.20041 Forum Math. 27, No. 6, 3167-3172 (2015). MSC: 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{M. Bianchi} et al., Forum Math. 27, No. 6, 3167--3172 (2015; Zbl 1328.20041) Full Text: DOI arXiv
Beltrán, Antonio; Felipe, María José; Melchor, Carmen Graphs associated to conjugacy classes of normal subgroups in finite groups. (English) Zbl 1331.20028 J. Algebra 443, 335-348 (2015). Reviewer: Thomas Michael Keller (San Marcos) MSC: 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{A. Beltrán} et al., J. Algebra 443, 335--348 (2015; Zbl 1331.20028) Full Text: DOI
Hafezieh, Roghayeh; Spiga, Pablo Groups having complete bipartite divisor graphs for their conjugacy class sizes. (English) Zbl 1327.20036 Rend. Semin. Mat. Univ. Padova 133, 117-123 (2015). Reviewer: Enrico Jabara (Venezia) MSC: 20E45 20D60 05C25 05C15 PDFBibTeX XMLCite \textit{R. Hafezieh} and \textit{P. Spiga}, Rend. Semin. Mat. Univ. Padova 133, 117--123 (2015; Zbl 1327.20036) Full Text: DOI arXiv
Manes, Ernie Extensive categories and the size of an orbit. (English) Zbl 1350.18007 Theory Appl. Categ. 30, 599-619 (2015). Reviewer: Václav Koubek (Praha) MSC: 18B99 20B05 20E45 05A99 PDFBibTeX XMLCite \textit{E. Manes}, Theory Appl. Categ. 30, 599--619 (2015; Zbl 1350.18007) Full Text: EMIS
Hossein-Zadeh, Samaneh; Iranmanesh, Ali; Hosseinzadeh, Mohammad Ali; Lewis, Mark L. On graphs associated with character degrees and conjugacy class sizes of direct products of finite groups. (English) Zbl 1319.20026 Can. Math. Bull. 58, No. 1, 105-109 (2015). MSC: 20D60 05C25 20C15 20E45 20D40 05C76 PDFBibTeX XMLCite \textit{S. Hossein-Zadeh} et al., Can. Math. Bull. 58, No. 1, 105--109 (2015; Zbl 1319.20026) Full Text: DOI
Iranmanesh, Mohammad A. Bipartite divisor graph: a survey. (English) Zbl 1338.05215 Ashrafi, Ali Reza (ed.), Extended abstracts of the 5th conference on algebraic combinatorics and graph theory (FCC), Kashan, Iran, July 3–4, 2012. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 45, 43-49, electronic only (2014). MSC: 05C70 05C12 PDFBibTeX XMLCite \textit{M. A. Iranmanesh}, Electron. Notes Discrete Math. 45, 43--49 (2014; Zbl 1338.05215) Full Text: DOI
Xu, Mingchun; Shi, Wujie Thompson’s conjecture for Lie type groups \(E_7(q)\). (English) Zbl 1312.20009 Sci. China, Math. 57, No. 3, 499-514 (2014). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D06 20D60 20E45 05C25 20D20 PDFBibTeX XMLCite \textit{M. Xu} and \textit{W. Shi}, Sci. China, Math. 57, No. 3, 499--514 (2014; Zbl 1312.20009) Full Text: DOI
Chen, Ruifang; Guo, Xiuyun; Zhao, Xianhe On a graph of a \(p\)-solvable normal subgroup. (English) Zbl 1349.20013 Publ. Math. Debr. 85, No. 1-2, 101-111 (2014). MSC: 20D20 20D60 20D10 20E45 05C25 PDFBibTeX XMLCite \textit{R. Chen} et al., Publ. Math. Debr. 85, No. 1--2, 101--111 (2014; Zbl 1349.20013) Full Text: DOI
Bianchi, Mariagrazia; Herzog, Marcel; Pacifici, Emanuele On the regularity of a graph related to conjugacy classes of groups: small valencies. (English) Zbl 1296.20026 Morse, Robert Fitzgerald (ed.) et al., Group theory, combinatorics, and computing. Proceedings of the international conference in honor of Daniela Nikolova-Popova’s 60th birthday on group theory, combinatorics and computing, Boca Raton, FL, USA, October 3–8, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9435-4/pbk; 978-1-4704-1524-2/ebook). Contemporary Mathematics 611, 1-7 (2014). MSC: 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{M. Bianchi} et al., Contemp. Math. 611, 1--7 (2014; Zbl 1296.20026)
Matsumoto, Sho; Novak, Jonathan Jucys-Murphy elements and unitary matrix integrals. (English) Zbl 1312.05143 Int. Math. Res. Not. 2013, No. 2, 362-397 (2013). MSC: 05E05 PDFBibTeX XMLCite \textit{S. Matsumoto} and \textit{J. Novak}, Int. Math. Res. Not. 2013, No. 2, 362--397 (2013; Zbl 1312.05143) Full Text: DOI arXiv
Xu, Mingchun Thompson’s conjecture for alternating group of degree 22. (English) Zbl 1281.20018 Front. Math. China 8, No. 5, 1227-1236 (2013). MSC: 20D06 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{M. Xu}, Front. Math. China 8, No. 5, 1227--1236 (2013; Zbl 1281.20018) Full Text: DOI
Casolo, Carlo; Dolfi, Silvio; Pacifici, Emanuele; Sanus, Lucia Incomplete vertices in the prime graph on conjugacy class sizes of finite groups. (English) Zbl 1282.20027 J. Algebra 376, 46-57 (2013). Reviewer: Antonio Beltrán Felip (Castellón) MSC: 20E45 20D60 05C25 20D20 PDFBibTeX XMLCite \textit{C. Casolo} et al., J. Algebra 376, 46--57 (2013; Zbl 1282.20027) Full Text: DOI Link
Ahanjideh, N. Thompson’s conjecture for some finite simple groups with connected prime graph. (English. Russian original) Zbl 1309.20019 Algebra Logic 51, No. 6, 451-478 (2013); translation from Algebra Logika 51, No. 6, 683-721 (2012). MSC: 20D60 20D06 20E45 05C25 PDFBibTeX XMLCite \textit{N. Ahanjideh}, Algebra Logic 51, No. 6, 451--478 (2013; Zbl 1309.20019); translation from Algebra Logika 51, No. 6, 683--721 (2012) Full Text: DOI
Foruzanfar, Z.; Mostaghim, Z. Finite groups with specific number of centralizers and graphs without triangles. (English) Zbl 1292.20028 Adv. Appl. Math. Sci. 12, No. 2, 89-95 (2012). MSC: 20D60 20E45 20E07 20D25 05C25 PDFBibTeX XMLCite \textit{Z. Foruzanfar} and \textit{Z. Mostaghim}, Adv. Appl. Math. Sci. 12, No. 2, 89--95 (2012; Zbl 1292.20028)
Casolo, Carlo; Dolfi, Silvio; Pacifici, Emanuele; Sanus, Lucia Groups whose prime graph on conjugacy class sizes has few complete vertices. (English) Zbl 1268.20033 J. Algebra 364, 1-12 (2012). Reviewer: Enrico Jabara (Venezia) MSC: 20E45 20D60 05C25 20D10 PDFBibTeX XMLCite \textit{C. Casolo} et al., J. Algebra 364, 1--12 (2012; Zbl 1268.20033) Full Text: DOI
Gorshkov, I. B. Thompson’s conjecture for simple groups with connected prime graph. (English. Russian original) Zbl 1270.20010 Algebra Logic 51, No. 2, 111-127 (2012); translation from Algebra Logika 51, No. 2, 168-192 (2012). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20D05 20E45 20D60 05C25 PDFBibTeX XMLCite \textit{I. B. Gorshkov}, Algebra Logic 51, No. 2, 111--127 (2012; Zbl 1270.20010); translation from Algebra Logika 51, No. 2, 168--192 (2012) Full Text: DOI
Xu, Mingchun; Wei, Huaquan Verifying Thompson’s conjecture for two projective special linear groups \(L_9(2)\) and \(L_{10}(2)\). (English) Zbl 1257.20017 South Asian J. Math. 2, No. 1, 31-42 (2012). MSC: 20D06 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{M. Xu} and \textit{H. Wei}, South Asian J. Math. 2, No. 1, 31--42 (2012; Zbl 1257.20017)
Bianchi, Mariagrazia; Herzog, Marcel; Pacifici, Emanuele; Saffirio, Giulio On the regularity of a graph related to conjugacy classes of groups. (English) Zbl 1248.20021 Eur. J. Comb. 33, No. 7, 1402-1407 (2012). MSC: 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{M. Bianchi} et al., Eur. J. Comb. 33, No. 7, 1402--1407 (2012; Zbl 1248.20021) Full Text: DOI
Jiang, Qinghui; Shao, Changguo; Xu, Bicai On Thompson conjecture of \(U_4(2)\). (English) Zbl 1236.20028 South Asian J. Math. 1, No. 2, 60-62 (2011). MSC: 20D60 20D06 05C25 20E45 PDFBibTeX XMLCite \textit{Q. Jiang} et al., South Asian J. Math. 1, No. 2, 60--62 (2011; Zbl 1236.20028)
Jiang, Qinhui; Shao, Changguo; Guo, Xiuyun; Shi, Wujie On Thompson’s conjecture of \(A_{10}\). (English) Zbl 1226.20018 Commun. Algebra 39, No. 7, 2349-2353 (2011). MSC: 20D60 20D06 05C25 20E45 PDFBibTeX XMLCite \textit{Q. Jiang} et al., Commun. Algebra 39, No. 7, 2349--2353 (2011; Zbl 1226.20018) Full Text: DOI
Berestycki, Nathanael Emergence of giant cycles and slowdown transition in random transpositions and \(k\)-cycles. (English) Zbl 1228.60079 Electron. J. Probab. 16, Paper No. 5, 152-173 (2011). MSC: 60J10 60K35 60B15 05C80 05C12 05C65 PDFBibTeX XMLCite \textit{N. Berestycki}, Electron. J. Probab. 16, Paper No. 5, 152--173 (2011; Zbl 1228.60079) Full Text: DOI arXiv EMIS
Arad, Zvi; Xu, Bangteng; Chen, Guiyun; Cohen, Effi; Haj Ihia Hussam, Arisha; Muzychuk, Mikhail On normalized integral table algebras (fusion rings). Generated by a faithful non-real element of degree 3. (English) Zbl 1286.20005 Algebra and Applications 16. Berlin: Springer (ISBN 978-0-85729-849-2/hbk; 978-0-85729-850-8/ebook). x, 274 p. (2011). MSC: 20C15 05E30 16P10 20-02 20C05 05E15 PDFBibTeX XMLCite \textit{Z. Arad} et al., On normalized integral table algebras (fusion rings). Generated by a faithful non-real element of degree 3. Berlin: Springer (2011; Zbl 1286.20005) Full Text: DOI arXiv
Douma, Femke A lattice point problem on the regular tree. (English) Zbl 1222.05021 Discrete Math. 311, No. 4, 276-281 (2011). MSC: 05C05 05C12 PDFBibTeX XMLCite \textit{F. Douma}, Discrete Math. 311, No. 4, 276--281 (2011; Zbl 1222.05021) Full Text: DOI arXiv
Chan, Aaron C. S.; Davis, James A.; Jedwab, Jonathan On the non-existence of a projective \((75, 4, 12, 5)\) set in \(\mathrm{PG}(3, 7)\). (English) Zbl 1228.05308 J. Geom. 97, No. 1-2, 29-44 (2010). MSC: 05E18 05B25 94B05 PDFBibTeX XMLCite \textit{A. C. S. Chan} et al., J. Geom. 97, No. 1--2, 29--44 (2010; Zbl 1228.05308) Full Text: DOI
Taeri, Bijan Cycles and bipartite graphs on conjugacy class of groups. (English) Zbl 1219.05070 Rend. Semin. Mat. Univ. Padova 123, 233-247 (2010). MSC: 05C25 05C38 PDFBibTeX XMLCite \textit{B. Taeri}, Rend. Semin. Mat. Univ. Padova 123, 233--247 (2010; Zbl 1219.05070) Full Text: DOI EuDML Link
Vasil’ev, Andrey V. On Thompson’s conjecture. (English) Zbl 1289.20057 Sib. Èlektron. Mat. Izv. 6, 457-464 (2009). MSC: 20D60 20D06 20E45 05C25 PDFBibTeX XMLCite \textit{A. V. Vasil'ev}, Sib. Èlektron. Mat. Izv. 6, 457--464 (2009; Zbl 1289.20057) Full Text: Link
Casolo, Carlo; Dolfi, Silvio Products of primes in conjugacy class sizes and irreducible character degrees. (English) Zbl 1191.20024 Isr. J. Math. 174, 403-418 (2009). Reviewer: Alan R. Camina (Norwich) MSC: 20E45 20C15 20D60 20D20 05C25 PDFBibTeX XMLCite \textit{C. Casolo} and \textit{S. Dolfi}, Isr. J. Math. 174, 403--418 (2009; Zbl 1191.20024) Full Text: DOI
Herzog, Marcel; Longobardi, Patrizia; Maj, Mercede On a commuting graph on conjugacy classes of groups. (English) Zbl 1187.20027 Commun. Algebra 37, No. 10, 3369-3387 (2009). Reviewer: Alireza Abdollahi (Isfahan) MSC: 20E45 20D60 05C25 20F16 20D10 20F50 PDFBibTeX XMLCite \textit{M. Herzog} et al., Commun. Algebra 37, No. 10, 3369--3387 (2009; Zbl 1187.20027) Full Text: DOI
Camina, A. R.; Camina, R. D. Coprime conjugacy class sizes. (English) Zbl 1185.20024 Asian-Eur. J. Math. 2, No. 2, 183-190 (2009). Reviewer: Shi Wujie (Suzhou) MSC: 20D60 20E45 20D10 05C25 PDFBibTeX XMLCite \textit{A. R. Camina} and \textit{R. D. Camina}, Asian-Eur. J. Math. 2, No. 2, 183--190 (2009; Zbl 1185.20024) Full Text: DOI
Bubboloni, Daniela; Dolfi, Silvio; Iranmanesh, Mohammad A.; Praeger, Cheryl E. On bipartite divisor graphs for group conjugacy class sizes. (English) Zbl 1176.20027 J. Pure Appl. Algebra 213, No. 9, 1722-1734 (2009). Reviewer: Rachel D. Camina (Cambridge) MSC: 20E45 20D60 05C25 PDFBibTeX XMLCite \textit{D. Bubboloni} et al., J. Pure Appl. Algebra 213, No. 9, 1722--1734 (2009; Zbl 1176.20027) Full Text: DOI
Qian, Guohua; Wang, Yanming On class size of \(p\)-singular elements in finite groups. (English) Zbl 1170.20020 Commun. Algebra 37, No. 4, 1172-1181 (2009). Reviewer: Rachel D. Camina (Cambridge) MSC: 20E45 20D60 05C25 PDFBibTeX XMLCite \textit{G. Qian} and \textit{Y. Wang}, Commun. Algebra 37, No. 4, 1172--1181 (2009; Zbl 1170.20020) Full Text: DOI
Bates, C.; Bundy, D.; Hart, S.; Rowley, P. A note on commuting graphs for symmetric groups. (English) Zbl 1178.05048 Electron. J. Comb. 16, No. 1, Research Paper R6, 13 p. (2009). MSC: 05C25 05C12 20B30 PDFBibTeX XMLCite \textit{C. Bates} et al., Electron. J. Comb. 16, No. 1, Research Paper R6, 13 p. (2009; Zbl 1178.05048) Full Text: EuDML EMIS
Lewis, Mark L. An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. (English) Zbl 1166.20006 Rocky Mt. J. Math. 38, No. 1, 175-211 (2008). Reviewer: Thomas Michael Keller (San Marcos) MSC: 20C15 20E45 20D60 05C25 20-02 PDFBibTeX XMLCite \textit{M. L. Lewis}, Rocky Mt. J. Math. 38, No. 1, 175--211 (2008; Zbl 1166.20006) Full Text: DOI
De La Mora, Carlos; Wojciechowski, Piotr J. Multiplicative bases in matrix algebras. (English) Zbl 1114.15011 Linear Algebra Appl. 419, No. 2-3, 287-298 (2006). Reviewer: Ralf Gramlich (Darmstadt) MSC: 15A30 06F25 05B20 15A21 PDFBibTeX XMLCite \textit{C. De La Mora} and \textit{P. J. Wojciechowski}, Linear Algebra Appl. 419, No. 2--3, 287--298 (2006; Zbl 1114.15011) Full Text: DOI
Dolfi, Silvio On independent sets in the class graph of a finite group. (English) Zbl 1105.20017 J. Algebra 303, No. 1, 216-224 (2006). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20D60 20E45 05C25 PDFBibTeX XMLCite \textit{S. Dolfi}, J. Algebra 303, No. 1, 216--224 (2006; Zbl 1105.20017) Full Text: DOI
Arad, Z.; Erez, Y.; Muzychuk, M. On homogeneous standard integral table algebras of degree 4. (English) Zbl 1143.20004 Commun. Algebra 34, No. 2, 463-519 (2006). MSC: 20C15 20C05 16P10 05E30 PDFBibTeX XMLCite \textit{Z. Arad} et al., Commun. Algebra 34, No. 2, 463--519 (2006; Zbl 1143.20004) Full Text: DOI
Gow, Rod; Quinlan, Rachel On central difference sets in certain non-abelian 2-groups. (English) Zbl 1089.05014 J. Comb. Theory, Ser. A 113, No. 4, 712-717 (2006). MSC: 05B10 PDFBibTeX XMLCite \textit{R. Gow} and \textit{R. Quinlan}, J. Comb. Theory, Ser. A 113, No. 4, 712--717 (2006; Zbl 1089.05014) Full Text: DOI
Beltrán, Antonio; Felipe, María José Prime powers as conjugacy class lengths of \(\pi\)-elements. (English) Zbl 1065.20041 Bull. Aust. Math. Soc. 69, No. 2, 317-325 (2004). Reviewer: Alan R. Camina (Norwich) MSC: 20E45 20D60 20D20 05C25 PDFBibTeX XMLCite \textit{A. Beltrán} and \textit{M. J. Felipe}, Bull. Aust. Math. Soc. 69, No. 2, 317--325 (2004; Zbl 1065.20041) Full Text: DOI
Arad, Zvi; Erez, Ya’akov; Muzychuk, Mikhail On standard integral table algebras generated by an element of width 2. (English) Zbl 1080.20006 Isr. J. Math. 142, 285-314 (2004). MSC: 20C15 20C05 16P10 05E30 PDFBibTeX XMLCite \textit{Z. Arad} et al., Isr. J. Math. 142, 285--314 (2004; Zbl 1080.20006) Full Text: DOI
Arad, Zvi; Chen, Guiyun On normalized table algebras generated by a faithful non-real element of degree 3. (English) Zbl 1068.20501 Shum, K. P. (ed.) et al., Advances in algebra. Proceedings of the ICM satellite conference in algebra and related topics, Hong Kong, China, August 14–17, 2002. River Edge, NJ: World Scientific (ISBN 981-238-260-7/hbk). 13-37 (2003). MSC: 20C15 20C05 16P10 05E30 PDFBibTeX XMLCite \textit{Z. Arad} and \textit{G. Chen}, in: Advances in algebra. Proceedings of the ICM satellite conference in algebra and related topics, Hong Kong, China, August 14--17, 2002. River Edge, NJ: World Scientific. 13--37 (2003; Zbl 1068.20501)
Arad, Zvi (ed.); Muzychuk, Mikhail (ed.) Standard integral table algebras generated by a non-real element of small degree. (English) Zbl 1003.20005 Lecture Notes in Mathematics. 1773. Berlin: Springer. vii, 126 p. (2002). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20C15 20-02 20C05 05E30 16P10 PDFBibTeX XMLCite \textit{Z. Arad} (ed.) and \textit{M. Muzychuk} (ed.), Standard integral table algebras generated by a non-real element of small degree. Berlin: Springer (2002; Zbl 1003.20005) Full Text: DOI Link
Lu, Ziqun; Zhang, Jiping Irreducible modular characters and \(p\)-regular conjugacy classes. (English) Zbl 0992.20007 Algebra Colloq. 8, No. 1, 55-61 (2001). Reviewer: Roderick Gow (Dublin) MSC: 20C20 20E45 05C25 20D10 20D60 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{J. Zhang}, Algebra Colloq. 8, No. 1, 55--61 (2001; Zbl 0992.20007)
Goulden, I. P.; Jackson, D. M.; Vainshtein, A. The number of ramified coverings of the sphere by the torus and surfaces of higher genera. (English) Zbl 0957.58011 Ann. Comb. 4, No. 1, 27-46 (2000). Reviewer: Th.M.Rassias (Athens) MSC: 58D29 58C35 05C30 05E05 PDFBibTeX XMLCite \textit{I. P. Goulden} et al., Ann. Comb. 4, No. 1, 27--46 (2000; Zbl 0957.58011) Full Text: DOI arXiv
Shimozono, Mark; Weyman, Jerzy Graded characters of modules supported in the closure of a nilpotent conjugacy class. (English) Zbl 0956.05100 Eur. J. Comb. 21, No. 2, 257-288 (2000). MSC: 05E10 05E05 05A30 16W50 PDFBibTeX XMLCite \textit{M. Shimozono} and \textit{J. Weyman}, Eur. J. Comb. 21, No. 2, 257--288 (2000; Zbl 0956.05100) Full Text: DOI arXiv
Fulman, Jason The distribution of descents in fixed conjugacy classes of the symmetric groups. (English) Zbl 0917.05006 J. Comb. Theory, Ser. A 84, No. 2, 171-180 (1998). MSC: 05A15 05A16 05E05 PDFBibTeX XMLCite \textit{J. Fulman}, J. Comb. Theory, Ser. A 84, No. 2, 171--180 (1998; Zbl 0917.05006) Full Text: DOI Link
Lawther, R.; Liebeck, Martin W. On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class. (English) Zbl 0911.05035 J. Comb. Theory, Ser. A 83, No. 1, 118-137 (1998). Reviewer: R.Jajcay (Terre Haute) MSC: 05C25 05E15 PDFBibTeX XMLCite \textit{R. Lawther} and \textit{M. W. Liebeck}, J. Comb. Theory, Ser. A 83, No. 1, 118--137 (1998; Zbl 0911.05035) Full Text: DOI
Adami, S.; Bianchi, M.; Gillio Berta Mauri, A.; Herzog, M. On graph-complete groups. (English) Zbl 1179.20021 Rend., Sci. Mat. Appl., A 130(1996), No. 1-2, 295-307 (1997). MSC: 20D60 05C25 20D20 20D40 20E45 PDFBibTeX XMLCite \textit{S. Adami} et al., Rend., Sci. Mat. Appl., A 130, No. 1--2, 295--307 (1997; Zbl 1179.20021)
Roichman, Yuval Expansion properties of Cayley graphs of the alternating groups. (English) Zbl 0881.05058 J. Comb. Theory, Ser. A 79, No. 2, 281-297 (1997). MSC: 05C25 05E10 PDFBibTeX XMLCite \textit{Y. Roichman}, J. Comb. Theory, Ser. A 79, No. 2, 281--297 (1997; Zbl 0881.05058) Full Text: DOI
Downs, M. L. N. On some graphs related to regular, oriented triangular maps. (English) Zbl 0885.05073 Eur. J. Comb. 18, No. 5, 525-539 (1997). Reviewer: U.Baumann (Dresden) MSC: 05C25 PDFBibTeX XMLCite \textit{M. L. N. Downs}, Eur. J. Comb. 18, No. 5, 525--539, ej960115 (1997; Zbl 0885.05073) Full Text: DOI
Pittel, Boris On a likely shape of the random Ferrers diagram. (English) Zbl 0894.11039 Adv. Appl. Math. 18, No. 4, 432-488 (1997). Reviewer: M.Szalay (Budapest) MSC: 11P82 05A17 11K99 60C05 20C30 20P05 60J10 PDFBibTeX XMLCite \textit{B. Pittel}, Adv. Appl. Math. 18, No. 4, 432--488 (1997; Zbl 0894.11039) Full Text: DOI
Casolo, Carlo; Dolfi, Silvio The diameter of a conjugacy class graph of finite groups. (English) Zbl 0852.20017 Bull. Lond. Math. Soc. 28, No. 2, 141-148 (1996). Reviewer: C.Casolo (Udine) MSC: 20D60 05C25 05C40 20D40 PDFBibTeX XMLCite \textit{C. Casolo} and \textit{S. Dolfi}, Bull. Lond. Math. Soc. 28, No. 2, 141--148 (1996; Zbl 0852.20017) Full Text: DOI
Katriel, Jacob Explicit expressions for the central characters of the symmetric group. (English) Zbl 0853.05083 Discrete Appl. Math. 67, No. 1-3, 149-156 (1996). Reviewer: M.J.Falk (Flagstaff) MSC: 05E15 20B30 20C30 PDFBibTeX XMLCite \textit{J. Katriel}, Discrete Appl. Math. 67, No. 1--3, 149--156 (1996; Zbl 0853.05083) Full Text: DOI
Zagier, Don On the distribution of the number of cycles of elements in symmetric groups. (English) Zbl 0854.05008 Nieuw Arch. Wiskd., IV. Ser. 13, No. 3, 489-495 (1995). MSC: 05A15 20B35 PDFBibTeX XMLCite \textit{D. Zagier}, Nieuw Arch. Wiskd., IV. Ser. 13, No. 3, 489--495 (1995; Zbl 0854.05008)
Shi, He On the characters of symmetric group. (English) Zbl 0826.20016 Acta Math. Sin., New Ser. 10, Spec. Iss., 74-85 (1994). MSC: 20C30 05E10 PDFBibTeX XMLCite \textit{H. Shi}, Acta Math. Sin., New Ser. 10, 74--85 (1994; Zbl 0826.20016)
Moran, Gadi The center of \(\mathbb{Z}[S_{n+1}]\) is the set of symmetric polynomials in \(n\) commuting transposition-sums. (English) Zbl 0777.20003 Trans. Am. Math. Soc. 332, No. 1, 167-180 (1992). MSC: 20C05 16U70 05E05 16S34 20B30 20C30 PDFBibTeX XMLCite \textit{G. Moran}, Trans. Am. Math. Soc. 332, No. 1, 167--180 (1992; Zbl 0777.20003) Full Text: DOI
Moori, Jamshid Action tables for the Fischer group \(\bar F_{22}\). (English) Zbl 0662.20011 Group theory, Proc. Conf., Singapore 1987, 417-435 (1989). Reviewer: R.A.Wilson MSC: 20D08 20D45 05C25 PDFBibTeX XML
Jackson, D. M. Some combinatorial problems associated with products of conjugacy classes of the symmetric group. (English) Zbl 0682.20002 J. Comb. Theory, Ser. A 49, No. 2, 363-369 (1988). Reviewer: P.Lakatos MSC: 20B35 05A15 05A05 20C05 20D60 PDFBibTeX XMLCite \textit{D. M. Jackson}, J. Comb. Theory, Ser. A 49, No. 2, 363--369 (1988; Zbl 0682.20002) Full Text: DOI
Ito, Noboru The spectrum of a conjugacy class graph of a finite group. (English) Zbl 0581.20005 Math. J. Okayama Univ. 26, 1-10 (1984). Reviewer: J.S.Williams MSC: 20C15 05C25 20C30 20F65 20B30 PDFBibTeX XMLCite \textit{N. Ito}, Math. J. Okayama Univ. 26, 1--10 (1984; Zbl 0581.20005)
Horňák, Mirko A relationship between the finite group \(S^ p=T^ 2=(ST)^ q=E\) and the (p,q)-completability of disk-decompositions. (English) Zbl 0547.20027 Math. Nachr. 110, 25-36 (1983). MSC: 20F05 05C10 57M15 PDFBibTeX XMLCite \textit{M. Horňák}, Math. Nachr. 110, 25--36 (1983; Zbl 0547.20027) Full Text: DOI
Weiss, Richard On Fischer’s characterization of \(Sp^{2n}(2)\) and \(U_ n(2)\). (English) Zbl 0522.20008 Commun. Algebra 11, 2527-2554 (1983). MSC: 20D05 20F05 05C25 PDFBibTeX XMLCite \textit{R. Weiss}, Commun. Algebra 11, 2527--2554 (1983; Zbl 0522.20008) Full Text: DOI
Boccara, G. Cycles comme produit de deux permutations de classes données. (French) Zbl 0482.20002 Discrete Math. 38, 129-142 (1982). MSC: 20B30 05A15 20D60 PDFBibTeX XMLCite \textit{G. Boccara}, Discrete Math. 38, 129--142 (1982; Zbl 0482.20002) Full Text: DOI