1-Cohomology of simplicial amalgams of groups

  • Authors:

  • Rieuwert J. Blok;Corneliu G. Hoffman

  • Affiliations:

  • Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, USA 43403-1874;School of Mathematics, University of Birmingham, Edgbaston, UK B15-2TT

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 2013

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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.