Coleman Outer Automorphisms of Finite Groups with a Non-Abelian Minimal Normal Subgroup

被引：0

作者：

Wang, W. ^{[1
]}

Hai, J. K. ^{[1
]}

He, W. P. ^{[1
]}

机构：

[1] Qingdao Univ, Coll Math, Qingdao, Shandong, Peoples R China

来源：

MANUFACTURING, DESIGN SCIENCE AND INFORMATION ENGINEERING, VOLS I AND II | 2015年

关键词：

Coleman automorphism; simple group; minimal normal subgroup;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Let N be a non-Abelian minimal normal subgroup of a finite group G. If G/N is an Abelian group or simple group. It is shown that every Coleman automorphism of G is an inner automorphism.

引用

页码：1285 / 1289

页数：5

共 50 条

[1] Coleman automorphisms of finite groups and their minimal normal subgroups
Van Antwerpen, Arne
JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (11) : 3379 - 3394
[2] Coleman Automorphisms of Finite Groups with a Unique Nontrivial Normal Subgroup
Zhengxing LI
Jinke HAI
Shuxian
YANG
JournalofMathematicalResearchwithApplications, 2014, 34 (03) : 301 - 306
[3] Finite p-groups with a minimal non-abelian subgroup of index p(Ⅲ)
QU HaiPeng
XU MingYao
AN LiJian
ScienceChina(Mathematics), 2015, 58 (04) : 763 - 780
[4] Finite p-groups with a minimal non-abelian subgroup of index p(Ⅱ)
AN LiJian
LI LiLi
QU HaiPeng
ZHANG QinHai
Science China(Mathematics), 2014, 57 (04) : 737 - 753
[5] Automorphisms of the Doubles of Purely Non-abelian Finite Groups
Keilberg, Marc
ALGEBRAS AND REPRESENTATION THEORY, 2015, 18 (05) : 1267 - 1297
[6] Automorphisms of the Doubles of Purely Non-Abelian Finite Groups
Marc Keilberg
Algebras and Representation Theory, 2015, 18 : 1267 - 1297
[7] Coleman Automorphisms of Finite Groups with a Self-Centralizing Normal Subgroup
Jinke Hai
Czechoslovak Mathematical Journal, 2020, 70 : 1197 - 1204
[8] Coleman automorphisms of holomorphs of finite abelian groups
Zheng Xing Li
Jin Ke Hai
Acta Mathematica Sinica, English Series, 2014, 30 : 1549 - 1554
[9] Coleman Automorphisms of Holomorphs of Finite Abelian Groups
Li, Zheng Xing
Hai, Jin Ke
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (09) : 1549 - 1554
[10] Coleman Automorphisms of Finite Groups with a Self-Centralizing Normal Subgroup
Hai, Jinke
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2020, 70 (04) : 1197 - 1204

← 1 2 3 4 5 →