Classifying 2-groups by coclass

被引：27

作者：

Newman, MF ^{[1
]}

O'Brien, EA

机构：

[1] Australian Natl Univ, Sch Math Sci, Canberra, ACT 0200, Australia

[2] Univ Auckland, Dept Math, Auckland, New Zealand

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 01期

关键词：

p-groups; pro-p-groups; coclass;

D O I：

10.1090/S0002-9947-99-02124-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Now that the conjectures of Leedham-Green and Newman have been proved, we probe deeper into the classification of p-groups using coclass. We determine the pro-a-groups of coclass at most 3 and use these to classify the a-groups of coclass at most 3 into families. Using extensive computational evidence; we make some detailed conjectures about the structure of these families. We also conjecture that the a-groups of arbitrary fixed coclass exhibit similar behaviour.

引用

页码：131 / 169

页数：39

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