Lopes, Lucas C.; Shumyatsky, Pavel; Zalesskii, Pavel A. Profinite groups with abelian Sylow subgroups. (English) Zbl 07790885 Commun. Algebra 52, No. 1, 224-232 (2024). Reviewer: Enrico Jabara (Venezia) MSC: 20E18 PDFBibTeX XMLCite \textit{L. C. Lopes} et al., Commun. Algebra 52, No. 1, 224--232 (2024; Zbl 07790885) Full Text: DOI
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
Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel Commutators, centralizers, and strong conciseness in profinite groups. (English) Zbl 07785013 Math. Nachr. 296, No. 11, 4948-4960 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20E18 20E45 20F24 20F12 PDFBibTeX XMLCite \textit{E. Detomi} et al., Math. Nachr. 296, No. 11, 4948--4960 (2023; Zbl 07785013) Full Text: DOI arXiv OA License
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
Shumyatsky, Pavel On profinite groups in which centralizers have bounded rank. (English) Zbl 1528.20035 Commun. Contemp. Math. 25, No. 10, Article ID 2250055, 7 p. (2023). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Commun. Contemp. Math. 25, No. 10, Article ID 2250055, 7 p. (2023; Zbl 1528.20035) Full Text: DOI arXiv
Acciarri, Cristina; Guralnick, Robert M.; Shumyatsky, Pavel Criteria for solubility and nilpotency of finite groups with automorphisms. (English) Zbl 1526.20037 Bull. Lond. Math. Soc. 55, No. 3, 1340-1346 (2023). Reviewer: Andrea Lucchini (Padova) MSC: 20D45 20D10 20D15 PDFBibTeX XMLCite \textit{C. Acciarri} et al., Bull. Lond. Math. Soc. 55, No. 3, 1340--1346 (2023; Zbl 1526.20037) Full Text: DOI arXiv
de las Heras, Iker; Pintonello, Matteo; Shumyatsky, Pavel Strong conciseness of coprime commutators in profinite groups. (English) Zbl 1526.20041 J. Algebra 633, 1-19 (2023). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 PDFBibTeX XMLCite \textit{I. de las Heras} et al., J. Algebra 633, 1--19 (2023; Zbl 1526.20041) Full Text: DOI arXiv
Shumyatsky, Pavel; Sica, Carmela; Tota, Maria Coprime commutators and the nonsoluble length of a finite group. (English) Zbl 1521.20046 Arch. Math. 120, No. 1, 3-8 (2023). Reviewer: Mahmut Kuzucuoğlu (Ankara) MSC: 20D30 20E34 PDFBibTeX XMLCite \textit{P. Shumyatsky} et al., Arch. Math. 120, No. 1, 3--8 (2023; Zbl 1521.20046) Full Text: DOI
Detomi, Eloisa; Shumyatsky, Pavel On the commuting probability for subgroups of a finite group. (English) Zbl 1515.20118 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1551-1564 (2022). Reviewer: Bernhard Amberg (Mainz) MSC: 20D60 20E45 20P05 PDFBibTeX XMLCite \textit{E. Detomi} and \textit{P. Shumyatsky}, Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1551--1564 (2022; Zbl 1515.20118) Full Text: DOI arXiv
Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel Centralizers of commutators in finite groups. (English) Zbl 1512.20100 J. Algebra 612, 475-486 (2022). Reviewer: Noraí Romeu Rocco (Brasília) MSC: 20E45 20F24 20F14 20F12 PDFBibTeX XMLCite \textit{E. Detomi} et al., J. Algebra 612, 475--486 (2022; Zbl 1512.20100) Full Text: DOI arXiv
Acciarri, Cristina; Guralnick, Robert M.; Shumyatsky, Pavel Coprime automorphisms of finite groups. (English) Zbl 1511.20081 Trans. Am. Math. Soc. 375, No. 7, 4549-4565 (2022). Reviewer: Andrea Caranti (Trento) MSC: 20D45 PDFBibTeX XMLCite \textit{C. Acciarri} et al., Trans. Am. Math. Soc. 375, No. 7, 4549--4565 (2022; Zbl 1511.20081) 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
Shumyatsky, Pavel; Zalesskii, Pavel Profinite groups in which centralizers are virtually procyclic. (English) Zbl 1512.20088 J. Algebra 586, 467-478 (2021). Reviewer: Tamar Bar-On (Ramat Gan) MSC: 20E18 PDFBibTeX XMLCite \textit{P. Shumyatsky} and \textit{P. Zalesskii}, J. Algebra 586, 467--478 (2021; Zbl 1512.20088) Full Text: DOI arXiv
Acciarri, Cristina; Shumyatsky, Pavel A stronger form of Neumann’s BFC-theorem. (English) Zbl 1476.20036 Isr. J. Math. 242, No. 1, 269-278 (2021). Reviewer: Enrico Jabara (Venezia) MSC: 20F24 20E45 20E34 20E18 PDFBibTeX XMLCite \textit{C. Acciarri} and \textit{P. Shumyatsky}, Isr. J. Math. 242, No. 1, 269--278 (2021; Zbl 1476.20036) Full Text: DOI arXiv
Rodrigues, Sara; Shumyatsky, Pavel Exponent of a finite group admitting a coprime automorphism of prime order. (English) Zbl 1484.20039 J. Group Theory 24, No. 3, 635-642 (2021). Reviewer: Alexandre Turull (Gainesville) MSC: 20D45 20D60 PDFBibTeX XMLCite \textit{S. Rodrigues} and \textit{P. Shumyatsky}, J. Group Theory 24, No. 3, 635--642 (2021; Zbl 1484.20039) Full Text: DOI
Acciarri, Cristina; Shumyatsky, Pavel On the rank of a finite group of odd order with an involutory automorphism. (English) Zbl 1473.20031 Monatsh. Math. 194, No. 3, 461-469 (2021). Reviewer: Mahender Singh (Sahibzada Ajit Singh Nagar) MSC: 20D45 PDFBibTeX XMLCite \textit{C. Acciarri} and \textit{P. Shumyatsky}, Monatsh. Math. 194, No. 3, 461--469 (2021; Zbl 1473.20031) Full Text: DOI
Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel Profinite groups with restricted centralizers of commutators. (English) Zbl 1472.20061 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2301-2321 (2020). Reviewer: Enrico Jabara (Venezia) MSC: 20E18 20F24 20F12 PDFBibTeX XMLCite \textit{E. Detomi} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2301--2321 (2020; Zbl 1472.20061) Full Text: DOI arXiv
Shumyatsky, Pavel Profinite groups in which many elements have prime power order. (English) Zbl 1455.20022 J. Algebra 562, 188-199 (2020). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 PDFBibTeX XMLCite \textit{P. Shumyatsky}, J. Algebra 562, 188--199 (2020; Zbl 1455.20022) Full Text: DOI arXiv
Rodrigues, Sara; Shumyatsky, Pavel Exponent of a finite group admitting a coprime automorphism. (English) Zbl 1452.20017 J. Pure Appl. Algebra 224, No. 9, Article ID 106370, 8 p. (2020). Reviewer: Marian Deaconescu (Safat) MSC: 20D45 20D60 PDFBibTeX XMLCite \textit{S. Rodrigues} and \textit{P. Shumyatsky}, J. Pure Appl. Algebra 224, No. 9, Article ID 106370, 8 p. (2020; Zbl 1452.20017) Full Text: DOI arXiv
Shumyatsky, Pavel Profinite groups with pronilpotent centralizers. (English) Zbl 1443.20047 Isr. J. Math. 235, No. 1, 325-347 (2020). Reviewer: Andrea Caranti (Trento) MSC: 20E18 20F19 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Isr. J. Math. 235, No. 1, 325--347 (2020; Zbl 1443.20047) Full Text: DOI arXiv
Acciarri, Cristina; Shumyatsky, Pavel On groups in which Engel sinks are cyclic. (English) Zbl 1450.20007 J. Algebra 539, 366-376 (2019). Reviewer: Rolf Brandl (Hof) MSC: 20F45 20F12 20F14 20F19 20E18 20D10 PDFBibTeX XMLCite \textit{C. Acciarri} and \textit{P. Shumyatsky}, J. Algebra 539, 366--376 (2019; Zbl 1450.20007) Full Text: DOI arXiv
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
Rodrigues, Sara; Shumyatsky, Pavel Exponent of a finite group of odd order with an involutory automorphism. (English) Zbl 1444.20016 Arch. Math. 113, No. 2, 113-118 (2019). Reviewer: Egle Bettio (Venezia) MSC: 20D45 PDFBibTeX XMLCite \textit{S. Rodrigues} and \textit{P. Shumyatsky}, Arch. Math. 113, No. 2, 113--118 (2019; Zbl 1444.20016) Full Text: DOI arXiv
Acciarri, Cristina; Shumyatsky, Pavel; Silveira, Danilo Engel sinks of fixed points in finite groups. (English) Zbl 1468.20068 J. Pure Appl. Algebra 223, No. 11, 4592-4601 (2019). MSC: 20F45 20D10 20D45 PDFBibTeX XMLCite \textit{C. Acciarri} et al., J. Pure Appl. Algebra 223, No. 11, 4592--4601 (2019; Zbl 1468.20068) Full Text: DOI arXiv
Shumyatsky, Pavel Linear groups with almost right Engel elements. (English) Zbl 1457.20029 Proc. Edinb. Math. Soc., II. Ser. 62, No. 3, 789-797 (2019). MSC: 20F45 20G15 20E25 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 3, 789--797 (2019; Zbl 1457.20029) Full Text: DOI arXiv
Shumyatsky, Pavel; Zalesskii, Pavel; Zapata, Theo Profinite groups in which centralizers are abelian. (English) Zbl 1482.20018 Isr. J. Math. 230, No. 2, 831-854 (2019). MSC: 20E18 20E26 PDFBibTeX XMLCite \textit{P. Shumyatsky} et al., Isr. J. Math. 230, No. 2, 831--854 (2019; Zbl 1482.20018) Full Text: DOI arXiv
de Melo, Emerson; de Souza Lima, Aline; Shumyatsky, Pavel Nilpotent residual of fixed points. (English) Zbl 1498.20052 Arch. Math. 111, No. 1, 13-21 (2018). MSC: 20D45 20D15 PDFBibTeX XMLCite \textit{E. de Melo} et al., Arch. Math. 111, No. 1, 13--21 (2018; Zbl 1498.20052) Full Text: DOI arXiv
De Melo, Emerson; Shumyatsky, Pavel Finite groups and their coprime automorphisms. (English) Zbl 1371.20021 Proc. Am. Math. Soc. 145, No. 9, 3755-3760 (2017). Reviewer: Marian Deaconescu (Safat) MSC: 20D45 20D15 PDFBibTeX XMLCite \textit{E. De Melo} and \textit{P. Shumyatsky}, Proc. Am. Math. Soc. 145, No. 9, 3755--3760 (2017; Zbl 1371.20021) 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
Ersoy, Kıvanç; Kuzucuoǧlu, Mahmut; Shumyatsky, Pavel Locally finite groups and their subgroups with small centralizers. (English) Zbl 1362.20033 J. Algebra 481, 1-11 (2017). Reviewer: Enrico Jabara (Venezia) MSC: 20F50 20E32 20E36 20E07 PDFBibTeX XMLCite \textit{K. Ersoy} et al., J. Algebra 481, 1--11 (2017; Zbl 1362.20033) Full Text: DOI
Belyaev, V.; Grigorchuk, R.; Shumyatsky, P. On just-infiniteness of locally finite groups and their \(C^*\)-algebras. (English) Zbl 1371.46042 Bull. Math. Sci. 7, No. 1, 167-175 (2017). MSC: 46L05 20F50 16S34 PDFBibTeX XMLCite \textit{V. Belyaev} et al., Bull. Math. Sci. 7, No. 1, 167--175 (2017; Zbl 1371.46042) Full Text: DOI arXiv
Detomi, Eloisa; Shumyatsky, Pavel On the length of a finite group and of its 2-generator subgroups. (English) Zbl 1375.20018 Bull. Braz. Math. Soc. (N.S.) 47, No. 3, 845-852 (2016). MSC: 20D30 20D10 20F22 20E07 PDFBibTeX XMLCite \textit{E. Detomi} and \textit{P. Shumyatsky}, Bull. Braz. Math. Soc. (N.S.) 47, No. 3, 845--852 (2016; Zbl 1375.20018) Full Text: DOI arXiv
Shumyatsky, Pavel; Sanção da Silveira, Danilo On finite groups with automorphisms whose fixed points are Engel. (English) Zbl 1342.20025 Arch. Math. 106, No. 3, 209-218 (2016). Reviewer: Hermann Heineken (Würzburg) MSC: 20D45 20F45 20F40 20D60 PDFBibTeX XMLCite \textit{P. Shumyatsky} and \textit{D. Sanção da Silveira}, Arch. Math. 106, No. 3, 209--218 (2016; Zbl 1342.20025) 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
Contreras-Rojas, Y.; Shumyatsky, Pavel Nonsoluble length of finite groups with commutators of small order. (English) Zbl 1371.20017 Math. Proc. Camb. Philos. Soc. 158, No. 3, 487-492 (2015). MSC: 20D30 20D10 20D20 20F12 20E10 PDFBibTeX XMLCite \textit{Y. Contreras-Rojas} and \textit{P. Shumyatsky}, Math. Proc. Camb. Philos. Soc. 158, No. 3, 487--492 (2015; Zbl 1371.20017) Full Text: DOI arXiv
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
Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel Commutators and pronilpotent subgroups in profinite groups. (English) Zbl 1303.20034 Monatsh. Math. 175, No. 1, 117-125 (2014). Reviewer: Andrea Caranti (Trento) MSC: 20E18 20F12 20F14 20E07 20E25 20F50 PDFBibTeX XMLCite \textit{E. Detomi} et al., Monatsh. Math. 175, No. 1, 117--125 (2014; Zbl 1303.20034) Full Text: DOI arXiv
Acciarri, Cristina; Shumyatsky, Pavel Double automorphisms of graded Lie algebras. (English) Zbl 1355.17015 J. Algebra 387, 1-10 (2013). MSC: 17B40 17B70 20D45 PDFBibTeX XMLCite \textit{C. Acciarri} and \textit{P. Shumyatsky}, J. Algebra 387, 1--10 (2013; Zbl 1355.17015) Full Text: DOI arXiv
Lima, Enio; Shumyatsky, Pavel On locally finite groups with a four-subgroup whose centralizer is small. (English) Zbl 1284.20038 Monatsh. Math. 172, No. 1, 77-84 (2013). Reviewer: Enrico Jabara (Venezia) MSC: 20F50 20E25 20E34 PDFBibTeX XMLCite \textit{E. Lima} and \textit{P. Shumyatsky}, Monatsh. Math. 172, No. 1, 77--84 (2013; Zbl 1284.20038) Full Text: DOI
Shumyatsky, Pavel Exponent of a finite group with a fixed-point-free four-group of automorphisms. (English) Zbl 1275.20021 Isr. J. Math. 194, Part B, 895-906 (2013). Reviewer: Enrico Jabara (Venezia) MSC: 20D45 20F40 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Isr. J. Math. 194, Part B, 895--906 (2013; Zbl 1275.20021) Full Text: DOI
Caldeira, Jhone; de Melo, Emerson; Shumyatsky, Pavel On groups and Lie algebras admitting a Frobenius group of automorphisms. (English) Zbl 1262.20029 J. Pure Appl. Algebra 216, No. 12, 2730-2736 (2012). MSC: 20D45 20D15 17B70 20F40 20D60 PDFBibTeX XMLCite \textit{J. Caldeira} et al., J. Pure Appl. Algebra 216, No. 12, 2730--2736 (2012; Zbl 1262.20029) Full Text: DOI
Pellegrini, Marco Antonio; Shumyatsky, Pavel Coprime commutators in \(\mathrm{PSL}(2,q)\). (English) Zbl 1294.20015 Arch. Math. 99, No. 6, 501-507 (2012). Reviewer: Pham Huu Tiep (Tucson) MSC: 20D06 20F12 20G40 20D60 PDFBibTeX XMLCite \textit{M. A. Pellegrini} and \textit{P. Shumyatsky}, Arch. Math. 99, No. 6, 501--507 (2012; Zbl 1294.20015) Full Text: DOI arXiv
Shumyatsky, Pavel Multilinear commutators in residually finite groups. (English) Zbl 1283.20021 Isr. J. Math. 189, 207-224 (2012). Reviewer: Alexander Ivanovich Budkin (Barnaul) MSC: 20E10 20E26 20F50 20F12 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Isr. J. Math. 189, 207--224 (2012; Zbl 1283.20021) Full Text: DOI arXiv
Shumyatsky, Pavel Exponent of a finite group with a four-group of automorphisms. (English) Zbl 1270.20026 Monatsh. Math. 168, No. 1, 113-124 (2012). Reviewer: Evgenii I. Khukhro (Nottingham) MSC: 20D45 20D15 20F40 17B60 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Monatsh. Math. 168, No. 1, 113--124 (2012; Zbl 1270.20026) Full Text: DOI
Lucchini, Andrea; Morigi, Marta; Shumyatsky, Pavel Boundedly generated subgroups of finite groups. (English) Zbl 1258.20026 Forum Math. 24, No. 4, 875-887 (2012). Reviewer: Enrico Jabara (Venezia) MSC: 20F05 20D60 20D20 20D10 PDFBibTeX XMLCite \textit{A. Lucchini} et al., Forum Math. 24, No. 4, 875--887 (2012; Zbl 1258.20026) Full Text: DOI
Shumyatsky, Pavel; Sica, Carmela On the structure of soluble graded Lie algebras. (English) Zbl 1248.17021 J. Algebra Appl. 10, No. 4, 597-604 (2011). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 17B70 17B99 PDFBibTeX XMLCite \textit{P. Shumyatsky} and \textit{C. Sica}, J. Algebra Appl. 10, No. 4, 597--604 (2011; Zbl 1248.17021) Full Text: DOI
Acciarri, Cristina; Shumyatsky, Pavel Fixed points of coprime operator groups. (English) Zbl 1254.20019 J. Algebra 342, No. 1, 161-174 (2011). Reviewer: Evgenii I. Khukhro (Nottingham) MSC: 20D45 20D15 20F40 20D60 20D30 PDFBibTeX XMLCite \textit{C. Acciarri} and \textit{P. Shumyatsky}, J. Algebra 342, No. 1, 161--174 (2011; Zbl 1254.20019) Full Text: DOI arXiv
Shumyatsky, Pavel Positive laws in fixed points of automorphisms of finite groups. (English) Zbl 1235.20024 J. Pure Appl. Algebra 215, No. 11, 2559-2566 (2011). Reviewer: Evgenii I. Khukhro (Nottingham) MSC: 20D45 20D15 20E10 20F40 17B40 17B30 20D10 20D60 PDFBibTeX XMLCite \textit{P. Shumyatsky}, J. Pure Appl. Algebra 215, No. 11, 2559--2566 (2011; Zbl 1235.20024) Full Text: DOI
Shumyatsky, Pavel On the exponent of a finite group with an automorphism group of order twelve. (English) Zbl 1229.20016 J. Algebra 331, No. 1, 482-489 (2011). Reviewer: Enrico Jabara (Venezia) MSC: 20D45 20F40 20F28 20D15 20D60 20F29 PDFBibTeX XMLCite \textit{P. Shumyatsky}, J. Algebra 331, No. 1, 482--489 (2011; Zbl 1229.20016) Full Text: DOI
Romano, Emanuela; Shumyatsky, Pavel On locally finite groups with a small centralizer of a four-subgroup. (English) Zbl 1234.20046 Arch. Math. 97, No. 1, 1-10 (2011). Reviewer: B. A. F. Wehrfritz (London) MSC: 20F50 20E25 20F28 PDFBibTeX XMLCite \textit{E. Romano} and \textit{P. Shumyatsky}, Arch. Math. 97, No. 1, 1--10 (2011; Zbl 1234.20046) Full Text: DOI
Shumyatsky, Pavel Commutators in residually finite groups. (English) Zbl 1227.20034 Isr. J. Math. 182, 149-156 (2011). Reviewer: Rolf Brandl (Hof) MSC: 20F14 20F12 20E26 20F50 20E10 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Isr. J. Math. 182, 149--156 (2011; Zbl 1227.20034) Full Text: DOI
Shumyatsky, Pavel; Sica, Carmela On groups admitting a fixed-point-free elementary 2-group of automorphisms. (English) Zbl 1216.20017 Commun. Algebra 38, No. 11, 4188-4192 (2010). Reviewer: Alexandre Turull (Gainesville) MSC: 20D45 20D60 20D30 PDFBibTeX XMLCite \textit{P. Shumyatsky} and \textit{C. Sica}, Commun. Algebra 38, No. 11, 4188--4192 (2010; Zbl 1216.20017) Full Text: DOI
Makarenko, N. Yu.; Shumyatsky, Pavel Frobenius groups as groups of automorphisms. (English) Zbl 1214.20028 Proc. Am. Math. Soc. 138, No. 10, 3425-3436 (2010). Reviewer: Evgenii I. Khukhro (Nottingham) MSC: 20D45 20D15 20F40 17B40 17B70 20D60 20F29 PDFBibTeX XMLCite \textit{N. Yu. Makarenko} and \textit{P. Shumyatsky}, Proc. Am. Math. Soc. 138, No. 10, 3425--3436 (2010; Zbl 1214.20028) Full Text: DOI
Shumyatsky, Pavel On the Fitting height of a finite group. (English) Zbl 1193.20016 J. Group Theory 13, No. 1, 139-142 (2010). Reviewer: Marian Deaconescu (Safat) MSC: 20D10 20D25 20D30 20D60 PDFBibTeX XMLCite \textit{P. Shumyatsky}, J. Group Theory 13, No. 1, 139--142 (2010; Zbl 1193.20016) Full Text: DOI
de Souza Lima, Aline; Shumyatsky, Pavel On groups satisfying a positive law in fixed points. (English) Zbl 1182.20032 J. Algebra 322, No. 1, 245-253 (2009). Reviewer: A. Caranti (Trento) MSC: 20D45 20F40 20D60 20E36 PDFBibTeX XMLCite \textit{A. de Souza Lima} and \textit{P. Shumyatsky}, J. Algebra 322, No. 1, 245--253 (2009; Zbl 1182.20032) Full Text: DOI
Shumyatsky, Pavel Centralizers of involutory automorphisms of groups of odd order. (English) Zbl 1131.20014 J. Algebra 315, No. 2, 954-962 (2007). Reviewer: Alexandre A. Makhnev (Ekaterinburg) MSC: 20D45 20D60 20D25 PDFBibTeX XMLCite \textit{P. Shumyatsky}, J. Algebra 315, No. 2, 954--962 (2007; Zbl 1131.20014) Full Text: DOI
Shumyatsky, Pavel On the centralizer of an element of order four in a locally finite group. (English) Zbl 1156.20034 Glasg. Math. J. 49, No. 2, 411-415 (2007). Reviewer: Igor Subbotin (Los Angeles) MSC: 20F50 20E07 20E36 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Glasg. Math. J. 49, No. 2, 411--415 (2007; Zbl 1156.20034) 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
Shumyatsky, Pavel; Tamarozzi, Antonio; Wilson, Lawrence \(\mathbb Z_{n}\)-graded Lie rings. (English) Zbl 1058.17010 J. Algebra 283, No. 1, 149-160 (2005). Reviewer: A. Caranti (Povo) MSC: 17B60 20F40 20F18 PDFBibTeX XMLCite \textit{P. Shumyatsky} et al., J. Algebra 283, No. 1, 149--160 (2005; Zbl 1058.17010) Full Text: DOI
Shumyatsky, Pavel; Tamarozzi, Antonio On \(\mathbb Z_6\)-graded Lie rings. (English) Zbl 1155.17310 J. Algebra 277, No. 2, 703-716 (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B70 PDFBibTeX XMLCite \textit{P. Shumyatsky} and \textit{A. Tamarozzi}, J. Algebra 277, No. 2, 703--716 (2004; Zbl 1155.17310) Full Text: DOI
Shumyatsky, Pavel Positive laws in fixed points. (English) Zbl 1050.20014 Trans. Am. Math. Soc. 356, No. 5, 2081-2091 (2004). Reviewer: G. E. Wall (Sydney) MSC: 20D45 20F05 20D15 20F28 20F40 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Trans. Am. Math. Soc. 356, No. 5, 2081--2091 (2004; Zbl 1050.20014) Full Text: DOI
Shumyatsky, Pavel; Tamarozzi, Antonio On finite groups with fixed-point-free automorphisms. (English) Zbl 1007.20019 Commun. Algebra 30, No. 6, 2837-2842 (2002). Reviewer: Eugenii I.Khukhro (Cardiff) MSC: 20D45 20D15 PDFBibTeX XMLCite \textit{P. Shumyatsky} and \textit{A. Tamarozzi}, Commun. Algebra 30, No. 6, 2837--2842 (2002; Zbl 1007.20019) Full Text: DOI
Guralnick, Robert; Shumyatsky, Pavel Derived subgroups of fixed points. (English) Zbl 1050.20013 Isr. J. Math. 126, 345-362 (2001). Reviewer: Victor Mazurov (Novosibirsk) MSC: 20D45 20D20 20D15 20D60 PDFBibTeX XMLCite \textit{R. Guralnick} and \textit{P. Shumyatsky}, Isr. J. Math. 126, 345--362 (2001; Zbl 1050.20013) Full Text: DOI
Shumyatsky, Pavel On pro-\(p\) groups admitting a fixed-point-free automorphism. (English) Zbl 0955.20017 J. Algebra 228, No. 1, 357-366 (2000). Reviewer: Pavel Zalesskij (Brasilia) MSC: 20E18 20E36 20F40 20F50 20E07 22C05 PDFBibTeX XMLCite \textit{P. Shumyatsky}, J. Algebra 228, No. 1, 357--366 (2000; Zbl 0955.20017) 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
Shumyatsky, Pavel On locally soluble periodic groups with Chernikov centralizer of a four- subgroup. (English) Zbl 0817.20044 Proc. Edinb. Math. Soc., II. Ser. 37, No. 1, 133-138 (1994). Reviewer: F.de Giovanni (Napoli) MSC: 20F50 20F19 20E25 20E07 PDFBibTeX XMLCite \textit{P. Shumyatsky}, Proc. Edinb. Math. Soc., II. Ser. 37, No. 1, 133--138 (1994; Zbl 0817.20044) Full Text: DOI
Shumyatskij, P. V. A four group of automorphisms with a small number of fixed points. (English. Russian original) Zbl 0783.20012 Algebra Logic 30, No. 6, 481-489 (1991); translation from Algebra Logika 30, No. 6, 735-746 (1991). Reviewer: B.Hartley (Manchester) MSC: 20D45 20D10 20F50 20D60 20E07 PDFBibTeX XMLCite \textit{P. V. Shumyatskij}, Algebra Logic 30, No. 6, 481--489 (1991; Zbl 0783.20012); translation from Algebra Logika 30, No. 6, 735--746 (1991) Full Text: DOI
Sesekin, N. F.; Shumyatskij, P. V. Characterization of infinite Chernikov groups. (English. Russian original) Zbl 0714.20022 Ukr. Math. J. 42, No. 5, 596-598 (1990); translation from Ukr. Mat. Zh. 42, No. 5, 674-677 (1990). MSC: 20F50 20F28 20E07 20E25 PDFBibTeX XMLCite \textit{N. F. Sesekin} and \textit{P. V. Shumyatskij}, Ukr. Math. J. 42, No. 5, 596--598 (1990; Zbl 0714.20022); translation from Ukr. Mat. Zh. 42, No. 5, 674--677 (1990) Full Text: DOI