3 papers
math.GR2020
Eliminating components in Quillen's Conjecture
Kevin I. Piterman, Stephen D. Smith
We generalize an earlier result of Segev, which shows that {\em some\/} component in a minimal counterexample to Quillen's conjecture must admit an outer automorphism. We show in f…
math.AT2004
Propagating sharp group homology decompositions
Jesper Grodal, Stephen D. Smith
A collection C of subgroups of a finite group G can give rise to three different standard formulas for the cohomology of G in terms of either: the subgroups in C; or their centrali…
math.RT2000
On an asymptotic behavior of elements of order p in irreducible representations of the classical algebraic groups with large enough highest weights
I. D. Suprunenko
The behavior of the images of a fixed element of order p in irreducible representations of a classical algebraic group in odd characteristic p with highest weights large enough wit…