Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
1997 | 10.1016/S0168-0072(97)00018-3 | Annals of Pure and Applied Logic |
Keywords | Field | DocType |
Finite covers,Aleph-zero categorical structures,Automorphism groups | Kernel (linear algebra),Discrete mathematics,Combinatorics,Vector space,Topological space,Epimorphism,Permutation,Permutation group,Infinite set,Mathematics,Projective space | Journal |
Volume | Issue | ISSN |
88 | 2-3 | 0168-0072 |
Citations | PageRank | References |
2 | 0.62 | 1 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| David M. Evans | 1 | 34 | 8.31 |