Sets of p-Powers as Conjugacy Class Sizes

Cossey, Peter (John); Hawkes, Trevor

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Sets of p-Powers as Conjugacy Class Sizes

Date

1999

Authors

Cossey, Peter (John)

Hawkes, Trevor

Publisher

American Mathematical Society

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.

URI

http://hdl.handle.net/1885/90576

Collections

ANU Research Publications

Source

Proceedings of the American Mathematical Society

Type

Journal article

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Cultural advice

Sets of p-Powers as Conjugacy Class Sizes

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