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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-finiteMy notes
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References found in this work
Sous-groupes periodiques d'un groupe stable.Bruno Poizat & Frank Wagner - 1993 - Journal of Symbolic Logic 58 (2):385-400.
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