Submission date: 4 January 2009.

Abstract:

We embed a countably categorical group G into a locally compact group c(G) with a non-trivial topology and study how topological properties of c(G) are connected with the structure of definable subgroups of G.

Mathematics Subject Classification: 20A05; 20F18; 03C45; 20F65

Keywords and phrases: countably categorical groups, definable subgroups, locally compact groups, profinite completion

Full text arXiv: pdf, ps.