Document Type

Article

Publication Date

2008

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let S, be the symmetric group of degree n where n > 5. Given any non-trivial alpha,beta is an element of S-n, we prove that the product alpha(Sn)beta(Sn) of the conjugacy classes alpha(Sn) and beta(Sn) is never a conjugacy class. Furthermore, if n is odd and not a multiple of three, then alpha(Sn)beta(Sn) is the union of at least three distinct conjugacy classes. We also describe the elements alpha,beta is an element of S-n in the case when alpha(Sn)beta(Sn) is the union of exactly two distinct conjugacy classes.

Comments

DOI: 10.1515/JGT.2008.021

Publication Title

Journal of Group Theory

Volume

11

Issue

3

First Page

371

Last Page

379

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