Classifying 2-groups by coclass

M. F. Newman*, E. A. O'Brien

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    28 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)131-169
    Number of pages39
    JournalTransactions of the American Mathematical Society
    Volume351
    Issue number1
    DOIs
    Publication statusPublished - 1999

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