Nilpotency in groups with the minimal condition on centralizers

DOI10.1006/jabr.1998.7824zbMath0932.20027OpenAlexW2004512811MaRDI QIDQ1305006

Frank O. Wagner

Publication date: 9 March 2000

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

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:0331cc0b-7e9c-4480-a9b3-89aa4af6e9a6

zbMATH Keywords

Sylow subgroupslocally finite groupsFitting subgroupschain conditionschains of subgroupsleft Engel elementsminimal condition on centralizers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Engel conditions (20F45)

Related Items

ON SOLUBILITY OF GROUPS WITH BOUNDED CENTRALIZER CHAINS ⋮ ON THE RADICALS OF A GROUP THAT DOES NOT HAVE THE INDEPENDENCE PROPERTY ⋮ A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups ⋮ Unnamed Item ⋮ Definable envelopes of nilpotent subgroups of groups with chain conditions on centralizers ⋮ Centraliser dimension of partially commutative groups.

Cites Work

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• Commutator conditions and splitting automorphisms for stable groups
• The Engel elements of a soluble group
• Groups with the minimal condition on centralizers
• Periodic locally soluble groups with the minimal condition on centralizers
• The Fitting subgroup of a stable group
• Sous-groupes periodiques d'un groupe stable