Sets of p-powers as conjugacy class sizes

John Cossey*, Trevor Hawkes

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    12 Citations (Scopus)

    Abstract

    We show that any finite set of powers of a fixed prime p which includes 1 can be the set of conjugacy class sizes of a p-group of nilpotency class 2. This corresponds to a result of Isaacs for degrees of irreducible characters.

    Original languageEnglish
    Pages (from-to)49-51
    Number of pages3
    JournalProceedings of the American Mathematical Society
    Volume128
    Issue number1
    DOIs
    Publication statusPublished - 2000

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