FINITE GROUPS AND THEIR COPRIME AUTOMORPHISMS

被引：7

作者：

de Melo, Emerson ^{[1
]}

Shumyatsky, Pavel ^{[1
]}

机构：

[1] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 09期

关键词：

p-groups; automorphisms; fixed-point; FIXED-POINTS; LIE-ALGEBRAS;

D O I：

10.1090/proc/13550

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p be a prime and A a finite group of exponent p acting by automorphisms on a finite p'-group G. Assume that A has order at least p(3) and C-G(a) is nilpotent of class at most c for any a is an element of A(#). It is shown that G is nilpotent with class bounded solely in terms of c and p.

引用

页码：3755 / 3760

页数：6

共 50 条

[1] COPRIME AUTOMORPHISMS OF FINITE GROUPS
Acciarri, Cristina
Guralnick, Robert
Shumyatsky, Pavel
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 375 (07) : 4549 - 4565
[2] Centralizers of coprime automorphisms of finite groups
Acciarri, Cristina
Shumyatsky, Pavel
ANNALI DI MATEMATICA PURA ED APPLICATA, 2014, 193 (02) : 317 - 324
[3] Centralizers of coprime automorphisms of finite groups
Cristina Acciarri
Pavel Shumyatsky
Annali di Matematica Pura ed Applicata, 2014, 193 : 317 - 324
[4] Finite groups and the fixed points of coprime automorphisms
Shumyatsky, P
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (12) : 3479 - 3484
[5] A NOTE ON FINITE-GROUPS ADMITTING COPRIME AUTOMORPHISMS
LOGINOV, VI
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1980, (06): : 58 - 61
[6] Coprime automorphisms of profinite groups
Shumyatsky, P
QUARTERLY JOURNAL OF MATHEMATICS, 2002, 53 : 371 - 376
[7] Profinite groups and the fixed points of coprime automorphisms
Acciarri, Cristina
Shumyatsky, Pavel
JOURNAL OF ALGEBRA, 2016, 452 : 188 - 195
[8] GROUPS OF FINITE AUTOMORPHISMS OF GROUPS
ZALESSKII, AE
DOKLADY AKADEMII NAUK BELARUSI, 1975, 19 (08): : 681 - 684
[9] Coprime commutators in finite groups
Bastos, Raimundo
Monetta, Carmine
COMMUNICATIONS IN ALGEBRA, 2019, 47 (10) : 4137 - 4147
[10] Automorphisms of finite groups
Juriaans, SO
De Miranda, JM
Robério, JR
COMMUNICATIONS IN ALGEBRA, 2004, 32 (05) : 1705 - 1714

← 1 2 3 4 5 →