Automorphism groups of nilpotent groups

被引：0

作者：

Braun, G ^{[1
]}

Göbel, R ^{[1
]}

机构：

[1] Univ Duisburg, FB Math 6, D-45117 Essen, Germany

来源：

ARCHIV DER MATHEMATIK | 2003年 / 80卷 / 05期

关键词：

Primary 20F18; Secondary 18B15, 20F28;

D O I：

10.1007/s00013-003-0802-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a full class of nilpotent groups of class 2 of an arbitrary infinite cardinality kappa. Their centers, commutator subgroups and factors modulo the center will be the same and a homogeneous direct sum of a group of rank 1 or 2. Their automorphism groups will coincide and the factor group modulo the stabilizer could be an arbitrary group of size less than or equal to kappa.

引用

页码：464 / 474

页数：11

共 9 条

[1]

BRAUN G, 2002, THESIS E LORAND U

[2] TORSION-FREE NILPOTENT GROUPS AND E-MODULES [J].