THE NORMALIZER PROPERTY FOR INTEGRAL GROUP RINGS OF WREATH PRODUCTS OF FINITE NILPOTENT GROUPS BY CYCLIC GROUPS

被引：9

作者：

Li, Zhengxing ^{[1
,2
]}

Hai, Jinke ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

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

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 02期

关键词：

Extensive subgroups; Normalizer property; Semidirect products; Wreath products; AUTOMORPHISMS;

D O I：

10.1080/00927871003591975

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G = NwrC(n) be the wreath product of N by C(n), where N is a finite nilpotent group and C(n) is a cyclic group of order n. Then the normalizer property holds for G.

引用

页码：521 / 533

页数：13

共 50 条

[41] PRODUCTS OF FINITE NILPOTENT GROUPS
PENNINGTON, EA
[J]. MATHEMATISCHE ZEITSCHRIFT, 1973, 134 (01) : 81 - 83
[42] ON FINITE PRODUCTS OF NILPOTENT GROUPS
AMBERG, B
HOFLING, B
[J]. ARCHIV DER MATHEMATIK, 1994, 63 (01) : 1 - 8
[43] Products of finite nilpotent groups
Cossey, J
Stonehewer, SE
[J]. COMMUNICATIONS IN ALGEBRA, 1999, 27 (01) : 289 - 300
[44] PRODUCTS OF FINITE NILPOTENT GROUPS
HEINEKEN, H
[J]. MATHEMATISCHE ANNALEN, 1990, 287 (04) : 643 - 652
[45] Powers in wreath products of finite groups
Kundu, Rijubrata
Mondal, Sudipa
[J]. JOURNAL OF GROUP THEORY, 2022, 25 (05) : 941 - 964
[46] A FORMAL DERIVATION ON INTEGRAL GROUP RINGS FOR CYCLIC GROUPS
Lee, Joongul
[J]. HONAM MATHEMATICAL JOURNAL, 2023, 45 (04): : 678 - 681
[47] ON THE CIRCLE GROUPS OF FINITE NILPOTENT RINGS
TAHARA, K
HOSOMI, A
[J]. LECTURE NOTES IN MATHEMATICS, 1984, 1098 : 161 - 179
[48] Products of free groups in the unit group of integral group rings
Jespers, E
Leal, G
delRio, A
[J]. JOURNAL OF ALGEBRA, 1996, 180 (01) : 22 - 40
[49] Integral group rings of finite groups of Lie types
Bleher, FM
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1999, 31 : 43 - 44
[50] On torsion subgroups in integral group rings of finite groups
Baechle, A.
Kimmerle, W.
[J]. JOURNAL OF ALGEBRA, 2011, 326 (01) : 34 - 46

← 1 2 3 4 5 →