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Classifying 2-groups by coclass

Newman, Michael; O'Brien, E A

Description

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-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.

CollectionsANU Research Publications
Date published: 1999
Type: Journal article
URI: http://hdl.handle.net/1885/94930
Source: Transactions of the American Mathematical Society

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