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2001-28

Spin representations, powers of 2 and the Glaisher map

by Bessenrodt, C., Olsson, J..


Series: 2001-28, Preprints

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

Abstract:
Generalizing results on spin character degrees, we
determine for a given conjugacy class of odd type
in the double cover of $S_n$ spin characters of $S_n$
which have the minimal 2-power on this class
in their character value.
Surprisingly, the Glaisher map plays an important role here.

Keywords:
double cover of symmetric groups, spin characters, Glaisher map

This paper was published in:
Algebras and Representation Theory (to appear)