On powers of characters and powers of conjugacy classes of a finite group-Reference-Cited by-同舟云学术

On powers of characters and powers of conjugacy classes of a finite group

Published:1986 Issue:1 Volume:98 Page:7-10
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Blau Harvey I.,Chillag David

Abstract

Two results are proved. The first gives necessary and sufficient conditions for a power of an irreducible character of a finite group to have exactly one irreducible constituent. The other presents necessary and sufficient conditions for a power of a conjugacy class of a finite group to be a single conjugacy class. Examples are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1986-098-01/S0002-9939-1986-0848863-2/S0002-9939-1986-0848863-2.pdf

Reference10 articles.

1. Lecture Notes in Mathematics,1985

2. Powers and products of conjugacy classes in groups;Arad, Z.,1985

3. Groups with a small covering number;Arad, Zvi,1985

4. Powers of characters of finite groups;Arad, Zvi;J. Algebra,1986

5. Z. Arad and E. Fisman, An analogy between products of two conjugacy classes and products of two irreducible characters in finite groups (submitted to Proc. Edinburgh Math. Soc).

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