Classifying 2-groups by coclass-Reference-Cited by-同舟云学术

Classifying 2-groups by coclass

Published:1999 Issue:1 Volume:351 Page:131-169
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Newman M.,O’Brien E.

Abstract

Now that the conjectures of Leedham-Green and Newman have been proved, we probe deeper into the classification of p p -groups using coclass. We determine the pro- 2 2 -groups of coclass at most 3 and use these to classify the 2-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 2-groups of arbitrary fixed coclass exhibit similar behaviour.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-01/S0002-9947-99-02124-8/S0002-9947-99-02124-8.pdf

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