11 citations · 79 across the 19 of their papers we have counts for
4 papers · 1 filter
Relations between permutation representations in positive characteristic
Alex Bartel, Matthew Spencer
Given a finite group G and a field F, a G-set X gives rise to an F[G]-permutation module F[X]. This defines a map from the Burnside ring of G to its representation ring over F. It…
Rational representations and permutation representations of finite groups
Alex Bartel, Tim Dokchitser
We investigate the question which Q-valued characters and characters of Q-representations of finite groups are Z-linear combinations of permutation characters. This question is kno…
Brauer relations in finite groups II - quasi-elementary groups of order p^aq
Alex Bartel, Tim Dokchitser
This is the second in a series of papers investigating the space of Brauer relations of a finite group, the kernel of the natural map from its Burnside ring to the rational represe…
Brauer relations in finite groups
Alex Bartel, Tim Dokchitser
If G is a non-cyclic finite group, non-isomorphic G-sets X, Y may give rise to isomorphic permutation representations C[X] and C[Y]. Equivalently, the map from the Burnside ring to…