The mod 2 cohomology of the infinite families of Coxeter groups of type B and D as almost Hopf rings

Lorenzo Guerra

We describe a Hopf ring structure on the direct sum of the cohomology groups ${⨁}_{n\ge 0}{H}^{\ast }\left(W_{B_n};{\mathbb{F}}_2\right)$ of the Coxeter groups of type $B_n$, an…