Almost group theory

DOI10.1016/j.jalgebra.2020.03.001zbMath1481.20002arXiv1509.09087OpenAlexW3011664345MaRDI QIDQ2178501

Nadja Hempel

Publication date: 11 May 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09087

zbMATH Keywords

groupsmodel theorylogicFitting subgroupalmost centralizerschain condition on centralizersdefinable envelopes

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Engel conditions (20F45) FC-groups and their generalizations (20F24)

Related Items (2)

On \(\omega \)-categorical groups and rings of finite burden ⋮ Pseudofinite primitive permutation groups acting on one-dimensional sets

Cites Work

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• Groups in \(\mathrm{NTP}_{2}\)
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• A Fitting theorem for simple theories
• Sous-groupes periodiques d'un groupe stable
• A note on FC-nilpotency
• Set Theory
• A remark on the definability of the Fitting subgroup and the soluble radical
• A Guide to NIP Theories
• On properties of (weakly) small groups
• Definable envelopes of nilpotent subgroups of groups with chain conditions on centralizers
• Endliche Gruppen I
• On the normal product of FC-nilpotent and FC-hypercentral groups
• The FC-Chain of a Group
• Groups Covered By Permutable Subsets
• DIMENSIONAL GROUPS AND FIELDS

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