Submission date: 6 February 2012.

Abstract:

We give two slight generalizations of results of Poizat about elementary theories of groups obtained by free constructions. The first-one concerns the non-superstability of such groups in most cases, and the second-one concerns the connectedness of most free products of groups.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1202.1262: pdf, ps.