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

被引：0

作者：

Jin Ke Hai

Yi Xin Zhu

机构：

[1] Qingdao University,College of Mathematics and Statistics

[2] Capital Normal University,School of Mathematical Sciences

来源：

Acta Mathematica Sinica, English Series | 2020年 / 36卷

关键词：

Coleman automorphisms; characteristically simple group; normalizer property; 20C05; 16S34; 20C10;

D O I：

暂无

中图分类号：

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：5

共 50 条

[1] The Normalizer Property for Integral Group Rings of Holomorphs of Finite Groups with Trivial Center
Jin Ke HAI
Yi Xin ZHU
[J]. Acta Mathematica Sinica,English Series, 2020, 36 (04) : 401 - 406
[2] The Normalizer Property for Integral Group Rings of Holomorphs of Finite Groups with Trivial Center
Jin Ke HAI
Yi Xin ZHU
[J]. Acta Mathematica Sinica., 2020, 36 (04) - 406
[3] The Normalizer Property for Integral Group Rings of Holomorphs of Finite Groups with Trivial Center
Hai, Jin Ke
Zhu, Yi Xin
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 36 (04) : 401 - 406
[4] The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups
Hai, Jinke
Ge, Shengbo
He, Weiping
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (02)
[5] A Note on the Normalizer Property for Integral Group Rings of Finite Groups
Hua, Z.
Hai, J. K.
[J]. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTRICAL, AUTOMATION AND MECHANICAL ENGINEERING (EAME 2015), 2015, 13 : 609 - 612
[6] The normalizer property for integral group rings of Frobenius groups
Lobao, TP
Milies, CP
[J]. JOURNAL OF ALGEBRA, 2002, 256 (01) : 1 - 6
[7] The normalizer property for integral group rings of finite solvable T-groups
Li, Zhengxing
Hai, Jinke
[J]. JOURNAL OF GROUP THEORY, 2012, 15 (02) : 237 - 243
[8] THE NORMALIZER PROPERTY FOR INTEGRAL GROUP RINGS OF WREATH PRODUCTS OF FINITE NILPOTENT GROUPS BY CYCLIC GROUPS
Li, Zhengxing
Hai, Jinke
[J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (02) : 521 - 533
[9] THE NORMALIZER PROPERTY FOR INTEGRAL GROUP RINGS OF SOME FINITE NILPOTENT-BY-NILPOTENT GROUPS
Hai, Jinke
Li, Zhengxing
[J]. COMMUNICATIONS IN ALGEBRA, 2012, 40 (07) : 2613 - 2627
[10] The normalizer property for integral group rings of complete monomial groups
Lobao, TP
Sehgal, SK
[J]. COMMUNICATIONS IN ALGEBRA, 2003, 31 (06) : 2971 - 2983

← 1 2 3 4 5 →