ON p-AUTOMORPHISMS THAT ARE INNER

被引：1

作者：

Attar, M. Shabani ^{[1
]}

机构：

[1] Univ Payam Noor, Dept Math, Fac Sci, Mashhad 91735433, Iran

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 80卷 / 02期

关键词：

automorphism; central automorphism; finite p-group;

D O I：

10.1017/S0004972709000276

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group and let C-Aut Phi(G) (Z(Phi(G))) be the set of all automorphisms of G centralizing G/Phi(G) and Z(Phi(G)). For each prime p and finite p-group G, we prove that C-Aut Phi(G)(Z(Phi(G))) <= Inn(G) if and only if G is elementary abelian or Phi(G) = Z(G) and Z(G) is cyclic.

引用

页码：291 / 293

页数：3

共 50 条

[41] All automorphisms of the Calkin algebra are inner
Farah, Ilijas
ANNALS OF MATHEMATICS, 2011, 173 (02) : 619 - 661
[42] LOCALLY INNER AUTOMORPHISMS OF OPERATOR ALGEBRAS
Sherman, David
QUARTERLY JOURNAL OF MATHEMATICS, 2010, 61 (02): : 241 - 254
[43] Classification of approximately inner automorphisms of subfactors
Kawahigashi, Y
MATHEMATISCHE ANNALEN, 1997, 308 (03) : 425 - 438
[44] INNER AUTOMORPHISMS AS 2-CELLS
Hofstra, Pieter
Karvonen, Martti
THEORY AND APPLICATIONS OF CATEGORIES, 2024, 42
[45] Group Bijections Commuting with Inner Automorphisms
Borodin, A. N.
Neshchadim, M. V.
Simonov, A. A.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (05) : 1015 - 1025
[46] Inner Automorphisms of an Abelian Extension of a Quandle
Bae, Yongju
Kim, Byeorhi
KYUNGPOOK MATHEMATICAL JOURNAL, 2023, 63 (04): : 709 - 718
[47] BRAIDS, INNER AUTOMORPHISMS AND THE ANDREADAKIS PROBLEM
Darne, Jacques
ANNALES DE L INSTITUT FOURIER, 2025, 75 (01)
[48] THE STATES ASSOCIATED WITH APPROXIMATELY INNER AUTOMORPHISMS
CHODA, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 81 (02) : 343 - 344
[49] ON INNER AUTOMORPHISMS OF CERTAIN FINITE FACTORS
NAKAMURA, M
TAKEDA, Z
PROCEEDINGS OF THE JAPAN ACADEMY, 1961, 37 (01): : 31 - &
[50] Classification of approximately inner automorphisms of subfactors
Yasuyuki Kawahigashi
Mathematische Annalen, 1997, 308 : 425 - 438

← 1 2 3 4 5 →