The Normalizer Property for Integral Group Rings of Holomorphs of Finite Groups with Trivial Center

被引：0

作者：

Jin Ke HAI ^{[1
]}

Yi Xin ZHU ^{[2
]}

机构：

[1] College of Mathematics and Statistics, Qingdao University

[2] School of Mathematical Sciences, Capital Normal

来源：

ActaMathematicaSinica | 2020年 / 36卷 / 04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=Hol(H) be the holomorph of a finite group H.If there is a prime q dividing |H|such that every q-central automorphism of H is inner and Z(H)=1,then every Coleman automorphism of G is inner.In particular,the normalizer property holds for G.

引用

页码：401 / 406

页数：6

共 50 条

[31] The Normalizer Property of Finite Groups with a Nilpotent Subgroup of Index 2
He, W. P.
Hai, J. K.
Wang, W.
MANUFACTURING, DESIGN SCIENCE AND INFORMATION ENGINEERING, VOLS I AND II, 2015, : 1264 - 1269
[32] Integral group rings with all central units trivial
Bakshi, Gurmeet K.
Maheshwary, Sugandha
Passi, Inder Bir S.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2017, 221 (08) : 1955 - 1965
[33] Integral group rings with trivial central units II
Dockucheaev, M
Milies, CP
Sehgal, SK
COMMUNICATIONS IN ALGEBRA, 2005, 33 (01) : 37 - 42
[34] INTEGRAL GROUP-RINGS WITH TRIVIAL CENTRAL UNITS
RITTER, J
SEHGAL, SK
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 108 (02) : 327 - 329
[35] On Auslander-Reiten components and trivial modules for integral group rings of p-groups
Inoue, T
Kawata, S
JOURNAL OF ALGEBRA, 1998, 203 (02) : 374 - 384
[36] AUTOMORPHISMS AND ISOMORPHISMS OF INTEGRAL GROUP-RINGS OF FINITE-GROUPS
ROGGENKAMP, KW
LECTURE NOTES IN MATHEMATICS, 1984, 1098 : 118 - 135
[37] CONSTRUCTION OF UNITS IN INTEGRAL GROUP-RINGS OF FINITE NILPOTENT GROUPS
RITTER, J
SEHGAL, SK
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 324 (02) : 603 - 621
[38] CONSTRUCTION OF UNITS IN INTEGRAL GROUP-RINGS OF FINITE NILPOTENT GROUPS
RITTER, J
SEHGAL, SK
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 20 (02) : 165 - 168
[39] THE ORDERS OF TORSION UNITS IN INTEGRAL GROUP RINGS OF FINITE SOLVABLE GROUPS
Hertweck, Martin
COMMUNICATIONS IN ALGEBRA, 2008, 36 (10) : 3585 - 3588
[40] On the Gruenberg-Kegel graph of integral group rings of finite groups
Kimmerle, W.
Konovalov, A.
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2017, 27 (06) : 619 - 631

← 1 2 3 4 5 →