Second cohomology groups and finite covers of infinite symmetric groups

David M. Evans; Elisabetta Pastori

doi:10.1016/j.jalgebra.2010.12.004

Second cohomology groups and finite covers of infinite symmetric groups

David M. Evans, Elisabetta Pastori

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

For O an infinite set, k?2 and W the set of k-sets from O, there is a natural closed permutation group Gk which is a non-split extension View the MathML source. We classify the closed subgroups of Gk which project onto Sym(O). The question arises in model theory as a problem about finite covers, but here we formulate and solve it in algebraic terms.

Original language	English
Pages (from-to)	221-233
Number of pages	13
Journal	Journal of Algebra
Volume	330
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2010.12.004
Publication status	Published - 15 Mar 2011

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10.1016/j.jalgebra.2010.12.004Licence: Other

Cite this

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