Peyerimhoff, Norbert; Roth, Marc; Schmitt, Johannes; Stix, Jakob; Vdovina, Alina; Wellnitz, Philip Parameterized counting and Cayley graph expanders. (English) Zbl 07690451 SIAM J. Discrete Math. 37, No. 2, 405-486 (2023). MSC: 68Q27 68Q17 68R10 05E40 05C48 11F06 11R52 20F65 PDFBibTeX XMLCite \textit{N. Peyerimhoff} et al., SIAM J. Discrete Math. 37, No. 2, 405--486 (2023; Zbl 07690451) Full Text: DOI
Calderoni, Filippo; Marker, David; Motto Ros, Luca; Shani, Assaf Anti-classification results for groups acting freely on the line. (English) Zbl 07666840 Adv. Math. 418, Article ID 108938, 45 p. (2023). MSC: 03E15 03E30 03E75 03C15 03C64 06F15 06F20 20F60 54H05 PDFBibTeX XMLCite \textit{F. Calderoni} et al., Adv. Math. 418, Article ID 108938, 45 p. (2023; Zbl 07666840) Full Text: DOI arXiv
Darbinyan, Arman; Steenbock, Markus Embeddings into left-orderable simple groups. (English) Zbl 1521.20082 J. Lond. Math. Soc., II. Ser. 105, No. 3, 2011-2045 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 20F60 20E32 20F10 06F15 PDFBibTeX XMLCite \textit{A. Darbinyan} and \textit{M. Steenbock}, J. Lond. Math. Soc., II. Ser. 105, No. 3, 2011--2045 (2022; Zbl 1521.20082) Full Text: DOI arXiv
Khoussainov, B.; Melnikov, A. G. Decomposability and computability. (English. Russian original) Zbl 1515.03165 Algebra Logic 61, No. 2, 153-159 (2022); translation from Algebra Logika 61, No. 2, 220-229 (2022). MSC: 03C57 03D45 20K99 PDFBibTeX XMLCite \textit{B. Khoussainov} and \textit{A. G. Melnikov}, Algebra Logic 61, No. 2, 153--159 (2022; Zbl 1515.03165); translation from Algebra Logika 61, No. 2, 220--229 (2022) Full Text: DOI
Melnikov, A. G. New degree spectra of Polish spaces. (English. Russian original) Zbl 07401183 Sib. Math. J. 62, No. 5, 882-894 (2021); translation from Sib. Mat. Zh. 62, No. 5, 1091-1108 (2021). MSC: 03Dxx 03Cxx 20Kxx PDFBibTeX XMLCite \textit{A. G. Melnikov}, Sib. Math. J. 62, No. 5, 882--894 (2021; Zbl 07401183); translation from Sib. Mat. Zh. 62, No. 5, 1091--1108 (2021) Full Text: DOI
Marchuk, Margarita Igorevna Index set of autostable ordered abelian groups. (Russian) Zbl 1505.03081 Mat. Tr. 23, No. 1, 169-176 (2020). MSC: 03C57 03D45 20K99 PDFBibTeX XMLCite \textit{M. I. Marchuk}, Mat. Tr. 23, No. 1, 169--176 (2020; Zbl 1505.03081) Full Text: DOI MNR
Darbinyan, Arman Computability, orders, and solvable groups. (English) Zbl 1485.03172 J. Symb. Log. 85, No. 4, 1588-1598 (2020). MSC: 03D45 20F10 20F60 PDFBibTeX XMLCite \textit{A. Darbinyan}, J. Symb. Log. 85, No. 4, 1588--1598 (2020; Zbl 1485.03172) Full Text: DOI arXiv
Kalimullin, I. Sh. Constructing punctually categorical semigroups. (English. Russian original) Zbl 1480.03024 Algebra Logic 59, No. 5, 408-411 (2020); translation from Algebra Logika 59, No. 5, 600-605 (2020). Reviewer: Philippe Malbos (Lyon) MSC: 03C57 03D45 20M50 03C60 PDFBibTeX XMLCite \textit{I. Sh. Kalimullin}, Algebra Logic 59, No. 5, 408--411 (2020; Zbl 1480.03024); translation from Algebra Logika 59, No. 5, 600--605 (2020) Full Text: DOI
Downey, Rod; Melnikov, Alexander; Ng, Keng Meng Enumerating abelian \(p\)-groups. (English) Zbl 1457.03060 J. Algebra 560, 745-790 (2020). Reviewer: Andrei S. Morozov (Novosibirsk) MSC: 03D45 03C57 20K10 PDFBibTeX XMLCite \textit{R. Downey} et al., J. Algebra 560, 745--790 (2020; Zbl 1457.03060) Full Text: DOI
Bazhenov, Nikolay; Goncharov, Sergey; Melnikov, Alexander Decompositions of decidable abelian groups. (English) Zbl 1516.03012 Int. J. Algebra Comput. 30, No. 1, 49-90 (2020). MSC: 03C57 03D45 20K10 20K15 PDFBibTeX XMLCite \textit{N. Bazhenov} et al., Int. J. Algebra Comput. 30, No. 1, 49--90 (2020; Zbl 1516.03012) Full Text: DOI
Calderoni, Filippo; Thomas, Simon The bi-embeddability relation for countable abelian groups. (English) Zbl 1472.03050 Trans. Am. Math. Soc. 371, No. 3, 2237-2254 (2019). MSC: 03E15 20K10 20K20 03E57 PDFBibTeX XMLCite \textit{F. Calderoni} and \textit{S. Thomas}, Trans. Am. Math. Soc. 371, No. 3, 2237--2254 (2019; Zbl 1472.03050) Full Text: DOI Link
Sen, Yang Whitehead’s problem and reverse mathematics. (English) Zbl 1405.03033 Isr. J. Math. 228, No. 1, 455-512 (2018). Reviewer: Jeffry L. Hirst (Boone) MSC: 03B30 03F35 03D80 20K99 PDFBibTeX XMLCite \textit{Y. Sen}, Isr. J. Math. 228, No. 1, 455--512 (2018; Zbl 1405.03033) Full Text: DOI
Cavaleri, Matteo Følner functions and the generic word problem for finitely generated amenable groups. (English) Zbl 1427.20037 J. Algebra 511, 388-404 (2018). MSC: 20F10 03D40 43A07 03F05 03B25 PDFBibTeX XMLCite \textit{M. Cavaleri}, J. Algebra 511, 388--404 (2018; Zbl 1427.20037) Full Text: DOI arXiv
Ha, Trang; Harizanov, Valentina Orders on magmas and computability theory. (English) Zbl 1522.03172 J. Knot Theory Ramifications 27, No. 7, Article ID 1841001, 13 p. (2018). MSC: 03D45 03C57 06F99 20N02 54D30 PDFBibTeX XMLCite \textit{T. Ha} and \textit{V. Harizanov}, J. Knot Theory Ramifications 27, No. 7, Article ID 1841001, 13 p. (2018; Zbl 1522.03172) Full Text: DOI
Calderoni, Filippo The complexity of the embeddability relation between torsion-free abelian groups of uncountable size. (English) Zbl 1522.03189 J. Symb. Log. 83, No. 2, 703-716 (2018). MSC: 03E15 20K20 20K40 PDFBibTeX XMLCite \textit{F. Calderoni}, J. Symb. Log. 83, No. 2, 703--716 (2018; Zbl 1522.03189) Full Text: DOI arXiv
Melnikov, Alexander G. Torsion-free abelian groups with optimal Scott families. (English) Zbl 1522.03175 J. Math. Log. 18, No. 1, Article ID 1850002, 47 p. (2018). MSC: 03D45 20K20 PDFBibTeX XMLCite \textit{A. G. Melnikov}, J. Math. Log. 18, No. 1, Article ID 1850002, 47 p. (2018; Zbl 1522.03175) Full Text: DOI
Harrison-Trainor, Matthew Left-orderable computable groups. (English) Zbl 1447.03009 J. Symb. Log. 83, No. 1, 237-255 (2018). MSC: 03D45 06F15 03C57 06F20 03C60 20F10 PDFBibTeX XMLCite \textit{M. Harrison-Trainor}, J. Symb. Log. 83, No. 1, 237--255 (2018; Zbl 1447.03009) Full Text: DOI arXiv
Greenberg, Noam; Turetsky, Dan; Westrick, Linda Brown Finding bases of uncountable free abelian groups is usually difficult. (English) Zbl 1414.03006 Trans. Am. Math. Soc. 370, No. 6, 4483-4508 (2018). Reviewer: Valery Plisko (Moskva) MSC: 03C57 03D60 03D45 20K99 PDFBibTeX XMLCite \textit{N. Greenberg} et al., Trans. Am. Math. Soc. 370, No. 6, 4483--4508 (2018; Zbl 1414.03006) Full Text: DOI arXiv
Melnikov, Alexander G.; Ng, Keng Meng Computable torsion abelian groups. (English) Zbl 1470.03018 Adv. Math. 325, 864-907 (2018). MSC: 03C57 03C60 03D15 20K10 PDFBibTeX XMLCite \textit{A. G. Melnikov} and \textit{K. M. Ng}, Adv. Math. 325, 864--907 (2018; Zbl 1470.03018) Full Text: DOI
Arvind, V. Finding fixed point free elements and small bases in permutation groups. (English) Zbl 1371.68100 Theor. Comput. Sci. 687, 70-78 (2017). MSC: 68Q25 20B05 20B40 68W20 PDFBibTeX XMLCite \textit{V. Arvind}, Theor. Comput. Sci. 687, 70--78 (2017; Zbl 1371.68100) Full Text: DOI
Khisamiev, Nazif G.; Latkin, Ivan V. On constructive nilpotent groups. (English) Zbl 1485.03114 Day, Adam (ed.) et al., Computability and complexity. Essays dedicated to Rodney G. Downey on the occasion of his 60th birthday. Cham: Springer. Lect. Notes Comput. Sci. 10010, 324-353 (2017). MSC: 03C57 03D45 20F18 20F10 20K15 20K25 PDFBibTeX XMLCite \textit{N. G. Khisamiev} and \textit{I. V. Latkin}, Lect. Notes Comput. Sci. 10010, 324--353 (2017; Zbl 1485.03114) Full Text: DOI
Downey, Rodney; Melnikov, Alexander G.; Ng, Keng Meng Abelian \(p\)-groups and the halting problem. (English) Zbl 1402.03067 Ann. Pure Appl. Logic 167, No. 11, 1123-1138 (2016). MSC: 03D45 03C57 20K99 PDFBibTeX XMLCite \textit{R. Downey} et al., Ann. Pure Appl. Logic 167, No. 11, 1123--1138 (2016; Zbl 1402.03067) Full Text: DOI
Riggs, Kyle The decomposability problem for torsion-free abelian groups is analytic-complete. (English) Zbl 1347.03083 Proc. Am. Math. Soc. 143, No. 8, 3631-3640 (2015). Reviewer: Andrei S. Morozov (Novosibirsk) MSC: 03D45 03C57 20K15 20K20 PDFBibTeX XMLCite \textit{K. Riggs}, Proc. Am. Math. Soc. 143, No. 8, 3631--3640 (2015; Zbl 1347.03083) Full Text: DOI arXiv
Melnikov, Alexander G. Computable abelian groups. (English) Zbl 1345.03065 Bull. Symb. Log. 20, No. 3, 315-356 (2014). MSC: 03C57 03D45 20K99 PDFBibTeX XMLCite \textit{A. G. Melnikov}, Bull. Symb. Log. 20, No. 3, 315--356 (2014; Zbl 1345.03065) Full Text: DOI
Downey, Rod; Melnikov, Alexander G.; Ng, Keng Meng Iterated effective embeddings of abelian \(p\)-groups. (English) Zbl 1339.03034 Int. J. Algebra Comput. 24, No. 7, 1055-1084 (2014). MSC: 03D50 03D45 03C57 20K10 PDFBibTeX XMLCite \textit{R. Downey} et al., Int. J. Algebra Comput. 24, No. 7, 1055--1084 (2014; Zbl 1339.03034) Full Text: DOI
Conidis, Chris J.; Shore, Richard A. The complexity of ascendant sequences in locally nilpotent groups. (English) Zbl 1350.03035 Int. J. Algebra Comput. 24, No. 2, 189-205 (2014). MSC: 03D80 20A15 20F14 20F19 PDFBibTeX XMLCite \textit{C. J. Conidis} and \textit{R. A. Shore}, Int. J. Algebra Comput. 24, No. 2, 189--205 (2014; Zbl 1350.03035) Full Text: DOI
Downey, Rodney; Melnikov, Alexander G. Effectively categorical abelian groups. (English) Zbl 1315.03054 J. Algebra 373, 223-248 (2013). MSC: 03C57 03C35 20K20 PDFBibTeX XMLCite \textit{R. Downey} and \textit{A. G. Melnikov}, J. Algebra 373, 223--248 (2013; Zbl 1315.03054) Full Text: DOI
Andersen, Brooke M.; Kach, Asher M.; Melnikov, Alexander G.; Solomon, Reed Jump degrees of torsion-free abelian groups. (English) Zbl 1273.03142 J. Symb. Log. 77, No. 4, 1067-1100 (2012). MSC: 03D45 20K15 20K20 PDFBibTeX XMLCite \textit{B. M. Andersen} et al., J. Symb. Log. 77, No. 4, 1067--1100 (2012; Zbl 1273.03142) Full Text: DOI Euclid Link
Fokina, E.; Knight, J. F.; Melnikov, A.; Quinn, S. M.; Safranski, C. Classes of Ulm type and coding rank-homogeneous trees in other structures. (English) Zbl 1241.03042 J. Symb. Log. 76, No. 3, 846-869 (2011). MSC: 03C57 03C15 05C05 06E05 20A15 20D15 20K10 PDFBibTeX XMLCite \textit{E. Fokina} et al., J. Symb. Log. 76, No. 3, 846--869 (2011; Zbl 1241.03042) Full Text: DOI
Dabkowska, Malgorzata A.; Dabkowski, Mieczyslaw K.; Harizanov, Valentina S.; Togha, Amir A. Spaces of orders and their Turing degree spectra. (English) Zbl 1225.03038 Ann. Pure Appl. Logic 161, No. 9, 1134-1143 (2010). MSC: 03C57 03D28 06F15 20F60 PDFBibTeX XMLCite \textit{M. A. Dabkowska} et al., Ann. Pure Appl. Logic 161, No. 9, 1134--1143 (2010; Zbl 1225.03038) Full Text: DOI
Melnikov, Alexander G. Enumerations and completely decomposable torsion-free abelian groups. (English) Zbl 1204.03039 Theory Comput. Syst. 45, No. 4, 897-916 (2009). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 03C57 03D45 20K20 PDFBibTeX XMLCite \textit{A. G. Melnikov}, Theory Comput. Syst. 45, No. 4, 897--916 (2009; Zbl 1204.03039) Full Text: DOI
Buchheim, Christoph; Cameron, Peter J.; Wu, Taoyang On the subgroup distance problem. (English) Zbl 1208.20002 Discrete Math. 309, No. 4, 962-968 (2009). MSC: 20B35 05A05 68Q25 20B40 PDFBibTeX XMLCite \textit{C. Buchheim} et al., Discrete Math. 309, No. 4, 962--968 (2009; Zbl 1208.20002) Full Text: DOI
Downey, Rod; Montalbán, Antonio The isomorphism problem for torsion-free abelian groups is analytic complete. (English) Zbl 1156.03042 J. Algebra 320, No. 6, 2291-2300 (2008). Reviewer: Cristian S. Calude (Auckland) MSC: 03D40 03D15 20K15 20K20 68Q17 PDFBibTeX XMLCite \textit{R. Downey} and \textit{A. Montalbán}, J. Algebra 320, No. 6, 2291--2300 (2008; Zbl 1156.03042) Full Text: DOI
Berrick, A. J. Two functions from Abelian groups to perfect groups. (English) Zbl 0614.20038 J. Pure Appl. Algebra 44, 35-43 (1987). Reviewer: M.E.Keating MSC: 20J05 20F05 20E22 55P20 PDFBibTeX XMLCite \textit{A. J. Berrick}, J. Pure Appl. Algebra 44, 35--43 (1987; Zbl 0614.20038) Full Text: DOI
Leinen, Felix Existentially closed locally finite p-groups. (English) Zbl 0598.20037 J. Algebra 103, 160-183 (1986). Reviewer: B.H.Neumann MSC: 20E25 20F10 20F50 20E15 20F14 20E07 20E06 PDFBibTeX XMLCite \textit{F. Leinen}, J. Algebra 103, 160--183 (1986; Zbl 0598.20037) Full Text: DOI