Second cohomology groups and finite covers

arxiv: 0909.0366 · v2 · pith:AAJNNE3Knew · submitted 2009-09-02 · 🧮 math.GR · math.LO

Second cohomology groups and finite covers

David M. Evans , Elisabetta Pastori This is my paper

classification 🧮 math.GR math.LO

keywords closedcoversfinitealgebraicarisesclassifycohomologyextension

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For D an infinite set, k>1 and W the set of k-sets from D, there is a natural closed permutation group G_k which is a non-split extension of \mathbb{Z}_2^W by \Sym(D). We classify the closed subgroups of G_k which project onto \Sym(D)$. The question arises in model theory as a problem about finite covers, but here we formulate and solve it in algebraic terms.

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Second cohomology groups and finite covers

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