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math.RT2009
The 2-modular permutation modules on fixed point free involutions of symmetric groups
Peter Collings
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…
math.RT2009★ 3 cited
Fixed point sets for permutation modules
Peter Collings
We investigate the representation of the symmetric group afforded by the action on its conjugacy class of fixed point free involutions, over an algebraically closed field of finite…