Two remarks on elementary theories of groups obtained by free constructions

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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Field	Value
Source	https://hal.science/hal-00666967
Author	Jaligot, Eric
Maintainer	CCSD
Last Updated	May 16, 2026, 14:04 (UTC)
Created	May 16, 2026, 14:04 (UTC)
Identifier	hal-00666967
Language	en
Rights	https://about.hal.science/hal-authorisation-v1/
contributor	Institut Fourier (IF) ; Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])
creator	Jaligot, Eric
date	2012-02-24T00:00:00
harvest_object_id	e3e6b69f-c3d8-4c13-a451-f5804e167dc7
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2025-10-16T00:00:00
relation	info:eu-repo/semantics/altIdentifier/arxiv/1202.1262
set_spec	type:UNDEFINED