English

$1$-cohomology of simplicial amalgams of groups

Group Theory 2015-09-16 v1 Combinatorics Category Theory

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.

Keywords

Cite

@article{arxiv.1509.04679,
  title  = {$1$-cohomology of simplicial amalgams of groups},
  author = {Rieuwert J. Blok and Corneliu G. Hoffman},
  journal= {arXiv preprint arXiv:1509.04679},
  year   = {2015}
}