Commutator conditions and splitting automorphisms for stable groups

Archive for Mathematical Logic 32 (3):223-228 (1993)

Abstract
We show that a stable groupG satisfying certain commutator conditions is nilpotent. Furthermore, a soluble stable group with generically splitting automorphism of prime order is nilpotent-by-finite. In particular, a soluble stable group with a generic element of prime order is nilpotent-by-finite
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DOI 10.1007/BF01375553
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References found in this work BETA

Sous-Groupes Periodiques d'Un Groupe Stable.Bruno Poizat & Frank Wagner - 1993 - Journal of Symbolic Logic 58 (2):385-400.
A Propos E'equations Generiques.Frank O. Wagner - 1992 - Journal of Symbolic Logic 57 (2):548-554.
À Propos d'Équations Génériques.Frank O. Wagner - 1992 - Journal of Symbolic Logic 57 (2):548-554.

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