On Coleman Automorphisms of Finite Nilpotent Groups by Cyclic Groups

被引：2

作者：

Jin Ke HAI

Sheng Bo GE

机构：

[1] CollegeofMathematicsandStatistics,QingdaoUniversity

来源：

Acta Mathematica Sinica | 2016年 / 32卷 / 12期

关键词：

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

摘要：

Let G be a finite group and let N be a nilpotent normal subgroup of G such that G/N is cyclic.It is shown that under some conditions all Coleman automorphisms of G are inner.Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.

引用

页码：1459 / 1464

页数：6

共 50 条

[1] On Coleman automorphisms of finite nilpotent groups by cyclic groups
Jin Ke Hai
Sheng Bo Ge
Acta Mathematica Sinica, English Series, 2016, 32 : 1459 - 1464
[2] On Coleman Automorphisms of Finite Nilpotent Groups by Cyclic Groups
Jin Ke HAI
Sheng Bo GE
Acta Mathematica Sinica,English Series, 2016, (12) : 1459 - 1464
[3] On Coleman Automorphisms of Finite Nilpotent Groups by Cyclic Groups
Hai, Jin Ke
Ge, Sheng Bo
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (12) : 1459 - 1464
[4] On Coleman automorphisms of wreath products of finite nilpotent groups by abelian groups
Hai JinKe
Li ZhengXing
SCIENCE CHINA-MATHEMATICS, 2011, 54 (10) : 2253 - 2257
[5] On Coleman automorphisms of wreath products of finite nilpotent groups by abelian groups
HAI JinKe & LI ZhengXing College of Mathematics
Science China(Mathematics), 2011, 54 (10) : 2253 - 2257
[6] On Coleman automorphisms of wreath products of finite nilpotent groups by abelian groups
JinKe Hai
ZhengXing Li
Science China Mathematics, 2011, 54 : 2253 - 2257
[7] On class-preserving Coleman automorphisms of semidirect products of finite nilpotent groups by finite groups
Hai, Jinke
Ge, Shengbo
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 90 (1-2): : 217 - 226
[8] Coleman automorphisms of finite groups
Martin Hertweck
Wolfgang Kimmerle
Mathematische Zeitschrift, 2002, 242 : 203 - 215
[9] Coleman automorphisms of finite groups
Hertweck, M
Kimmerle, W
MATHEMATISCHE ZEITSCHRIFT, 2002, 242 (02) : 203 - 215
[10] Automorphisms of finite order of Nilpotent groups
Wehrfritz B.A.F.
Ricerche di Matematica, 2014, 63 (2) : 261 - 272

← 1 2 3 4 5 →