English

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

Representation Theory 2009-03-24 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0903.3675,
  title  = {The 2-modular permutation modules on fixed point free involutions of symmetric groups},
  author = {Peter Collings},
  journal= {arXiv preprint arXiv:0903.3675},
  year   = {2009}
}

Comments

11 pages

R2 v1 2026-06-21T12:42:59.858Z