Sign conjugacy classes of the alternating groups

ABSTRACT

A conjugacy class C of a finite group G is a sign conjugacy class if every irreducible character of G takes value 0,1 or −1 on C. In this paper, we classify the sign conjugacy classes of alternating groups.

KEYWORDS:

• Alternating groups
• partitions

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 20C15

Acknowledgments

The author thanks Christine Bessenrodt and Michael Cuntz for questions and discussion about sign conjugacy classes of A_n, which lead to writing this paper.