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@article{Evans:1997:10.1016/S0168-0072(97)00018-3,
author = {Evans, DM},
doi = {10.1016/S0168-0072(97)00018-3},
journal = {Annals of Pure and Applied Logic},
pages = {109--147},
title = {Finite covers with finite kernels},
url = {http://dx.doi.org/10.1016/S0168-0072(97)00018-3},
volume = {88},
year = {1997}
}

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TY  - JOUR
AB  - We are concerned with the following problem. Suppose Γ and Σ are closed permutation groups on infinite sets C and W and ρ : Γ → Σ is a non-split, continuous epimorphism with finite kernel. Describe (for fixed Σ) the possibilities for ρ. Here, we consider the case where ρ arises from a finite cover π:C→W. We give reasonably general conditions on the permutation structure W;Σ which allow us to prove that these covers arise in two possible ways. The first way, reminiscent of covers of topological spaces, is as a covering of some Σ-invariant digraph on W. The second construction is less easy to describe, but produces the most familiar of these types of covers: a vector space covering its projective space.
AU  - Evans,DM
DO  - 10.1016/S0168-0072(97)00018-3
EP  - 147
PY  - 1997///
SN  - 0168-0072
SP  - 109
TI  - Finite covers with finite kernels
T2  - Annals of Pure and Applied Logic
UR  - http://dx.doi.org/10.1016/S0168-0072(97)00018-3
VL  - 88
ER  -

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