The 2-modular permutation modules on fixed point free involutions of symmetric groups

Details The 2-modular permutation modules on fixed point free involutions of symmetric groups The 2-modular permutation modules on fixed point free involutions of symmetric groups

2009-03-21

arxiv.org/abs/0903.3675v1

Mathematics

Representation Theory

11 pages

Scientific paper

We enumerate over even characteristic the components of the permutation
module of the symmetric group of even degree acting on the set of its fixed
point free involutions. We find the vertex and Brauer quotient for each
component, and the ordinary character associated with each component.

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