Constructing automorphism groups of p-groups

被引：38

作者：

Eick, B

Leedham-Green, CR

O'Brien, EA

机构：

[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Geometrie, D-38106 Braunschweig, Germany

[2] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England

[3] Univ Auckland, Dept Math, Auckland 1, New Zealand

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 05期

关键词：

D O I：

10.1081/AGB-120003468

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an algorithm to construct the automorphism group of a finite p-group. The method works down the lower exponent-p central series of the group. The central difficulty in each inductive step is a stabiliser computation; we introduce various approaches designed to simplify this computation.

引用

页码：2271 / 2295

页数：25

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