Khukhro, E. I.; Shumyatsky, P. Finite groups with a soluble group of coprime automorphisms whose fixed points have bounded Engel sinks. (English. Russian original) Zbl 07789142 Algebra Logic 62, No. 1, 80-93 (2023); translation from Algebra Logika 62, No. 1, 114-134 (2023). MSC: 03-XX 20-XX PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Algebra Logic 62, No. 1, 80--93 (2023; Zbl 07789142); translation from Algebra Logika 62, No. 1, 114--134 (2023) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. Strong conciseness of Engel words in profinite groups. (English) Zbl 1523.20048 Math. Nachr. 296, No. 6, 2404-2416 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20E18 20F19 20F45 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Math. Nachr. 296, No. 6, 2404--2416 (2023; Zbl 1523.20048) Full Text: DOI arXiv
Khukhro, Evgeny I.; Shumyatsky, Pavel On profinite groups with automorphisms whose fixed points have countable Engel sinks. (English) Zbl 1512.20087 Isr. J. Math. 247, No. 1, 303-330 (2022). Reviewer: Andrea Lucchini (Padova) MSC: 20E18 20E36 20F19 20F45 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Isr. J. Math. 247, No. 1, 303--330 (2022; Zbl 1512.20087) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks. (English) Zbl 1490.20022 Bull. Braz. Math. Soc. (N.S.) 53, No. 1, 33-47 (2022). Reviewer: Qiang Zhang (Xi’an) MSC: 20D45 20D25 20F45 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Bull. Braz. Math. Soc. (N.S.) 53, No. 1, 33--47 (2022; Zbl 1490.20022) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. Profinite groups with an automorphism of prime order whose fixed points have finite Engel sinks. (English) Zbl 1523.20047 Monatsh. Math. 197, No. 1, 111-123 (2022). Reviewer: Francesco de Giovanni (Napoli) MSC: 20E18 20E36 20F19 20F45 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Monatsh. Math. 197, No. 1, 111--123 (2022; Zbl 1523.20047) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. Compact groups with countable Engel sinks. (English) Zbl 07468889 Bull. Math. Sci. 11, No. 3, Article ID 2050015, 28 p. (2021). MSC: 20E18 20F19 20F45 22C05 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Bull. Math. Sci. 11, No. 3, Article ID 2050015, 28 p. (2021; Zbl 07468889) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. Compact groups in which all elements have countable right Engel sinks. (English) Zbl 07446632 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 6, 1790-1814 (2021). MSC: 20E18 20F19 20F45 22C05 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 6, 1790--1814 (2021; Zbl 07446632) Full Text: DOI arXiv Link
Khukhro, E. I.; Shumyatsky, P.; Traustason, G. Right Engel-type subgroups and length parameters of finite groups. (English) Zbl 1520.20088 J. Aust. Math. Soc. 109, No. 3, 340-350 (2020). Reviewer: Layla Sorkatti (Khartoum) MSC: 20F45 20E34 20D10 20D25 20D45 PDFBibTeX XMLCite \textit{E. I. Khukhro} et al., J. Aust. Math. Soc. 109, No. 3, 340--350 (2020; Zbl 1520.20088) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. Compact groups in which all elements are almost right Engel. (English) Zbl 1454.20076 Q. J. Math. 70, No. 3, 879-893 (2019). MSC: 20F45 20E18 22C05 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Q. J. Math. 70, No. 3, 879--893 (2019; Zbl 1454.20076) Full Text: DOI arXiv Link
Acciarri, C.; Khukhro, E. I.; Shumyatsky, P. Profinite groups with an automorphism whose fixed points are right Engel. (English) Zbl 1442.20015 Proc. Am. Math. Soc. 147, No. 9, 3691-3703 (2019). Reviewer: Andrea Caranti (Trento) MSC: 20E18 20E36 20F45 20F40 20D15 20F19 PDFBibTeX XMLCite \textit{C. Acciarri} et al., Proc. Am. Math. Soc. 147, No. 9, 3691--3703 (2019; Zbl 1442.20015) Full Text: DOI arXiv Link
Khukhro, E. I.; Shumyatsky, P. Finite groups with Engel sinks of bounded rank. (English) Zbl 1480.20089 Glasg. Math. J. 60, No. 3, 695-701 (2018). MSC: 20F45 20D10 20D15 20D06 20D20 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Glasg. Math. J. 60, No. 3, 695--701 (2018; Zbl 1480.20089) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. Almost Engel compact groups. (English) Zbl 1427.20048 J. Algebra 500, 439-456 (2018). MSC: 20F45 20D25 20E18 22C05 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, J. Algebra 500, 439--456 (2018; Zbl 1427.20048) Full Text: DOI arXiv Link
Khukhro, E. I.; Shumyatsky, P. Engel-type subgroups and length parameters of finite groups. (English) Zbl 1433.20002 Isr. J. Math. 222, No. 2, 599-629 (2017). Reviewer: Layla Sorkatti (Khartoum) MSC: 20D10 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Isr. J. Math. 222, No. 2, 599--629 (2017; Zbl 1433.20002) Full Text: DOI arXiv Link
Khukhro, E. I.; Shumyatsky, P. Length-type parameters of finite groups with almost unipotent automorphisms. (English, Russian) Zbl 1371.20022 Dokl. Math. 95, No. 1, 43-45 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 3, 265-267 (2017). MSC: 20D45 20D60 20D40 20D30 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Dokl. Math. 95, No. 1, 43--45 (2017; Zbl 1371.20022); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 3, 265--267 (2017) Full Text: DOI
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P. Finite groups and Lie rings with an automorphism of order \(2^n\). (English) Zbl 1428.20027 Proc. Edinb. Math. Soc., II. Ser. 60, No. 2, 391-412 (2017). MSC: 20D45 17B40 20D15 20F40 20F50 PDFBibTeX XMLCite \textit{E. I. Khukhro} et al., Proc. Edinb. Math. Soc., II. Ser. 60, No. 2, 391--412 (2017; Zbl 1428.20027) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. Almost Engel finite and profinite groups. (English) Zbl 1354.20024 Int. J. Algebra Comput. 26, No. 5, 973-983 (2016). Reviewer: Andrea Caranti (Trento) MSC: 20F45 20E18 20D25 20F19 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Int. J. Algebra Comput. 26, No. 5, 973--983 (2016; Zbl 1354.20024) Full Text: DOI arXiv
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P. Locally finite groups containing a \(2\)-element with Chernikov centralizer. (English) Zbl 1339.20034 Monatsh. Math. 179, No. 1, 91-97 (2016). Reviewer: B. A. F. Wehrfritz (London) MSC: 20F50 20F16 20E07 20E25 PDFBibTeX XMLCite \textit{E. I. Khukhro} et al., Monatsh. Math. 179, No. 1, 91--97 (2016; Zbl 1339.20034) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. On the length of finite factorized groups. (English) Zbl 1332.20021 Ann. Mat. Pura Appl. (4) 194, No. 6, 1775-1780 (2015). Reviewer: Enrico Jabara (Venezia) MSC: 20D40 20D60 20D30 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Ann. Mat. Pura Appl. (4) 194, No. 6, 1775--1780 (2015; Zbl 1332.20021) Full Text: DOI arXiv Link
Khukhro, E. I.; Shumyatsky, P. Nonsoluble and non-\(p\)-soluble length of finite groups. (English) Zbl 1333.20023 Isr. J. Math. 207, Part 2, 507-525 (2015). Reviewer: János Kurdics (Nyíregyháza) MSC: 20D30 20D60 20D20 20D25 20D10 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Isr. J. Math. 207, Part 2, 507--525 (2015; Zbl 1333.20023) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. On the length of finite groups and of fixed points. (English) Zbl 1330.20036 Proc. Am. Math. Soc. 143, No. 9, 3781-3790 (2015). Reviewer: Alexandre Turull (Gainesville) MSC: 20D45 20D30 20D60 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Proc. Am. Math. Soc. 143, No. 9, 3781--3790 (2015; Zbl 1330.20036) Full Text: DOI arXiv
Khukhro, E. I.; Shumyatsky, P. Words and pronilpotent subgroups in profinite groups. (English) Zbl 1310.20030 J. Aust. Math. Soc. 97, No. 3, 343-364 (2014). Reviewer: Enrico Jabara (Venezia) MSC: 20E18 20D10 20D20 20F50 20F12 20E07 20D60 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, J. Aust. Math. Soc. 97, No. 3, 343--364 (2014; Zbl 1310.20030) Full Text: DOI arXiv
Khukhro, Evgeny; Makarenko, Natalia; Shumyatsky, Pavel Frobenius groups of automorphisms and their fixed points. (English) Zbl 1328.17017 Forum Math. 26, No. 1, 73-112 (2014). Reviewer: Andrea Caranti (Trento) MSC: 17B40 20D45 17B70 20D15 20E36 20F40 22E25 PDFBibTeX XMLCite \textit{E. Khukhro} et al., Forum Math. 26, No. 1, 73--112 (2014; Zbl 1328.17017) Full Text: DOI arXiv Link
Makarenko, N. Yu.; Khukhro, E. I.; Shumyatsky, P. Fixed points of Frobenius groups of automorphisms. (English. Russian original) Zbl 1238.20038 Dokl. Math. 83, No. 2, 152-154 (2011); translation from Dokl. Akad. Nauk 437, No. 1, 20-23 (2011). Reviewer: Enrico Jabara (Venezia) MSC: 20D45 20D15 17B60 20F40 20D60 PDFBibTeX XMLCite \textit{N. Yu. Makarenko} et al., Dokl. Math. 83, No. 2, 152--154 (2011; Zbl 1238.20038); translation from Dokl. Akad. Nauk 437, No. 1, 20--23 (2011) Full Text: DOI
Khukhro, E. I.; Shumyatsky, P. Nilpotency of finite groups with Frobenius groups of automorphisms. (English) Zbl 1260.20036 Monatsh. Math. 163, No. 4, 461-470 (2011). Reviewer: Behrooz Mashayekhy (Mashhad) MSC: 20D45 20D15 17B70 20F40 20D60 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, Monatsh. Math. 163, No. 4, 461--470 (2011; Zbl 1260.20036) Full Text: DOI
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P. Nilpotent ideals in graded Lie algebras and almost constant-free derivations. (English) Zbl 1226.17013 Commun. Algebra 36, No. 5, 1869-1882 (2008). MSC: 17B40 17B70 17B30 20E36 20F40 PDFBibTeX XMLCite \textit{E. I. Khukhro} et al., Commun. Algebra 36, No. 5, 1869--1882 (2008; Zbl 1226.17013) Full Text: DOI
Khukhro, E. I.; Shumyatsky, P. Lie algebras with almost constant-free derivations. (English) Zbl 1162.17013 J. Algebra 306, No. 2, 544-551 (2006). MSC: 17B40 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, J. Algebra 306, No. 2, 544--551 (2006; Zbl 1162.17013) Full Text: DOI
Khukhro, E. I.; Shumyatsky, P. Bounding the exponent of a finite group with automorphisms. (English) Zbl 0923.20014 J. Algebra 212, No. 1, 363-374 (1999). Reviewer: H.Heineken (Würzburg) MSC: 20D45 20F40 17B40 22C05 20D60 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. Shumyatsky}, J. Algebra 212, No. 1, 363--374 (1999; Zbl 0923.20014) Full Text: DOI
Khukhro, E. I.; Shumyatskij, P. V. On fixed points of automorphisms of Lie rings and locally finite groups. (English. Russian original) Zbl 0901.20026 Algebra Logic 34, No. 6, 395-405 (1995); translation from Algebra Logika 34, No. 6, 706-723 (1995). Reviewer: Aleksandar Lipkovski (Beograd) MSC: 20F50 20F28 20F40 20F45 PDFBibTeX XMLCite \textit{E. I. Khukhro} and \textit{P. V. Shumyatskij}, Algebra Logika 34, No. 6, 706--723 (1995; Zbl 0901.20026); translation from Algebra Logika 34, No. 6, 706--723 (1995)