Unions of Cockroft two-complexes

Details Unions of Cockroft two-complexes Unions of Cockroft two-complexes

1993-10-12

arxiv.org/abs/math/9310203v1

Mathematics

Group Theory

LaTex, 10 pages, no figures

Scientific paper

A combinatorial group-theoretic hypothesis is presented that serves as a
necessary and sufficient condition for a union of connected Cockcroft
two-complexes to be Cockcroft. This hypothesis has a component that can be
expressed in terms of the second homology of groups. The hypothesis is applied
to the study of the third homology of groups given by generators and relators.

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