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2001-19

A note on Cartan matrices for symmetric groups

by Bessenrodt, C., Olsson, J..


Series: 2001-19, Preprints

MSC:
20C30 Representations of finite symmetric groups
05A15 Exact enumeration problems, generating functions

Abstract:
Using generating functions a very simple explicit formula
for the determinants of the p-Cartan matrices of symmetric
groups is given.
Our method works also when p is a composite number.

Keywords:
symmetric groups, Cartan matrices, determinants

This paper was published in:
Arch Math. (to appear)