1-cohomology of simplicial amalgams of groups
Journal of Algebraic Combinatorics, Tome 37 (2013) no. 2, pp. 381-400.

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Summary: 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: complexes of groups, amalgam, cohomology, goldschmidt's lemma, incidence geometries
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     author = {Blok, Rieuwert J. and Hoffman, Corneliu G.},
     title = {1-cohomology of simplicial amalgams of groups},
     journal = {Journal of Algebraic Combinatorics},
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Blok, Rieuwert J.; Hoffman, Corneliu G. 1-cohomology of simplicial amalgams of groups. Journal of Algebraic Combinatorics, Tome 37 (2013) no. 2, pp. 381-400. http://geodesic.mathdoc.fr/item/JAC_2013__37_2_a0/