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

[21] A NOTE ON OUTER AUTOMORPHISMS OF FINITE NILPOTENT GROUPS
HUVAL, OJ
AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (02): : 174 - &
[22] On finite groups admitting automorphisms with nilpotent centralizers
de Melo, Emerson
Caldeira, Jhone
JOURNAL OF ALGEBRA, 2018, 493 : 185 - 193
[23] POLYNOMIAL AUTOMORPHISMS IN NILPOTENT FINITE-GROUPS
TANI, GC
BONAFEDE, MFR
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1986, 5A (02): : 285 - 292
[24] AUTOMORPHISMS OF FINITE ORDER OF NILPOTENT GROUPS II
Wehrfritz, B. A. F.
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2014, 51 (04) : 547 - 555
[25] Automorphisms of finite order of nilpotent groups III
Wehrfritz, B. A. F.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2015, 109 (02) : 295 - 301
[26] ON CENTRAL AUTOMORPHISMS OF FINITE-BY-NILPOTENT GROUPS
FRANCIOSI, S
DEGIOVANNI, F
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1990, 33 : 191 - 201
[27] Class-Preserving Coleman Automorphisms of Finite Groups
Martin Hertweck
Monatshefte für Mathematik, 2002, 136 : 1 - 7
[28] Class-preserving coleman automorphisms of finite groups
Hertweck, M
MONATSHEFTE FUR MATHEMATIK, 2002, 136 (01): : 1 - 7
[29] Coleman automorphisms of finite groups and their minimal normal subgroups
Van Antwerpen, Arne
JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (11) : 3379 - 3394
[30] NILPOTENT GROUPS AND AUTOMORPHISMS
DAUNS, J
HOFMANN, KH
ACTA SCIENTIARUM MATHEMATICARUM, 1968, 29 (3-4): : 225 - &

← 1 2 3 4 5 →