On Efficient Presentations for Infinite Sequences of 2-Groups with Fixed Coclass

被引：2

作者：

Abdolzadeh, Hossein ^{[1
]}

Eick, Bettina ^{[2
]}

机构：

[1] Tarbiat Moallem Univ, Dept Math, Tehran 15614, Iran

[2] Tech Univ Carolo Wilhelmina Braunschweig, Inst Computat Math, D-38106 Braunschweig, Germany

来源：

ALGEBRA COLLOQUIUM | 2013年 / 20卷 / 04期

关键词：

finite p-groups; coclass theory; deficiency zero; P-GROUPS;

D O I：

10.1142/S1005386713000539

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Eick and Leedham-Green introduced infinite sequences of finite p-groups of fixed coclass. They showed that the groups in such an infinite sequence can be defined by a single parametrised presentation. Our aim is to construct short or even efficient parametrised presentations for such infinite sequences of finite 2-groups.

引用

页码：561 / 572

页数：12

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