The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups

被引：4

作者：

Hai, Jinke ^{[1
]}

Ge, Shengbo ^{[1
]}

He, Weiping ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math, Qingdao 266071, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2017年 / 16卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Semidirect product; Coleman automorphisms; normalizer property; COLEMAN AUTOMORPHISMS;

D O I：

10.1142/S0219498817500256

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a finite group and let G be the holomorph of H. If H is a finite nilpotent group or a symmetric group S-n of degree n, then the normalizer property holds for G.

引用

页数：11

共 50 条

[31] ON THE CIRCLE GROUPS OF FINITE NILPOTENT RINGS
TAHARA, K
HOSOMI, A
[J]. LECTURE NOTES IN MATHEMATICS, 1984, 1098 : 161 - 179
[32] Integral group rings of finite groups of Lie types
Bleher, FM
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1999, 31 : 43 - 44
[33] On torsion subgroups in integral group rings of finite groups
Baechle, A.
Kimmerle, W.
[J]. JOURNAL OF ALGEBRA, 2011, 326 (01) : 34 - 46
[34] ON GROUP-RINGS OF NILPOTENT GROUPS
MAKARLIMANOV, L
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1984, 48 (2-3) : 244 - 248
[35] PROPERTY OF ALGEBRAS OF FINITE NILPOTENT GROUPS
MORAND, R
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 272 (19): : 1227 - &
[36] Normalizer property of finite groups with almost simple subgroups
Hai, Jingjing
Ling, Xian
[J]. ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (11): : 4232 - 4237
[37] GENERATORS OF LARGE SUBGROUPS OF UNITS OF INTEGRAL GROUP-RINGS OF NILPOTENT GROUPS
GIAMBRUNO, A
SEHGAL, SK
[J]. JOURNAL OF ALGEBRA, 1995, 174 (01) : 150 - 156
[38] TORSION UNITS IN INTEGRAL GROUP-RINGS OF NILPOTENT METABELIAN-GROUPS
DOKUCHAEV, MA
[J]. COMMUNICATIONS IN ALGEBRA, 1992, 20 (02) : 423 - 435
[39] Primitive central idempotents of finite group rings of symmetric groups
Meyer, Harald
[J]. MATHEMATICS OF COMPUTATION, 2008, 77 (263) : 1801 - 1821
[40] On the prime graph of the unit group of integral group rings of finite groups
Kimmerle, W.
[J]. Groups, Rings and Algebras, 2006, 420 : 215 - 228

← 1 2 3 4 5 →