Two remarks on elementary theories of groups obtained by free constructions

Details Two remarks on elementary theories of groups obtained by free constructions Two remarks on elementary theories of groups obtained by free constructions

2012-02-06

arxiv.org/abs/1202.1262v2

Mathematics

Group Theory

Scientific paper

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.

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