$1$-cohomology of simplicial amalgams of groups

Abstract

We develop a cohomological method to classify amalgams of groups. We generalize this to simplicial amalgams in any concrete category. We compute the non-commutative 1-cohomology for several examples of amalgams defined over small simplices.

References in corpus (1)

• Curtis-Tits groups generalizing Kac-Moody groups of type ${\tilde{A}}_n$

Cited by in corpus (1)

• Classification of Curtis-Tits and Phan amalgams with $3$-spherical diagram