Sets of p-powers as conjugacy class sizes

John Cossey; Trevor Hawkes

doi:10.1090/s0002-9939-99-05138-2

Sets of p-powers as conjugacy class sizes

John Cossey^*
, Trevor Hawkes

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 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 language	English
Pages (from-to)	49-51
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	128
Issue number	1
DOIs	https://doi.org/10.1090/s0002-9939-99-05138-2
Publication status	Published - 2000

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title = "Sets of p-powers as conjugacy class sizes",

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DO - 10.1090/s0002-9939-99-05138-2

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JO - Proceedings of the American Mathematical Society

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Sets of p-powers as conjugacy class sizes

Abstract

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