@article{Evans:2011:10.1016/j.jalgebra.2010.12.004,
author = {Evans, DM and Pastori, E},
doi = {10.1016/j.jalgebra.2010.12.004},
journal = {Journal of Algebra},
pages = {221--233},
title = {Second cohomology groups and finite covers of infinite symmetric groups},
url = {http://dx.doi.org/10.1016/j.jalgebra.2010.12.004},
volume = {330},
year = {2011}
}

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TY  - JOUR
AB  - For Ω an infinite set, k≥2 and W the set of k-sets from Ω, there is a natural closed permutation group Γk which is a non-split extension 0→Z2W→Γk→Sym(Ω)→1. We classify the closed subgroups of Γk which project onto Sym(Ω). The question arises in model theory as a problem about finite covers, but here we formulate and solve it in algebraic terms. © 2011 Elsevier Inc.
AU  - Evans,DM
AU  - Pastori,E
DO  - 10.1016/j.jalgebra.2010.12.004
EP  - 233
PY  - 2011///
SN  - 0021-8693
SP  - 221
TI  - Second cohomology groups and finite covers of infinite symmetric groups
T2  - Journal of Algebra
UR  - http://dx.doi.org/10.1016/j.jalgebra.2010.12.004
VL  - 330
ER  - 

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