The mod 2 cohomology rings of the alternating subgroups of the Coxeter groups of Type B

Abstract

We show that the direct sum of the cohomology groups of the alternating subgroups of the family of Coxeter groups of Type B exhibits an almost-Hopf ring structure. We apply techniques developed by Giusti and Sinha to fully compute a presentation of this structure for mod 2 coefficient.

arXiv comment34 pages, 1 figure