A remark on the definability of the Fitting subgroup and the soluble radical

DOI10.1002/malq.201200038zbMath1278.03074arXiv1205.0573OpenAlexW2108969893MaRDI QIDQ4915220

Abderezak Ould Houcine

Publication date: 9 April 2013

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0573

zbMATH Keywords

groupsdefinabilitynilpotencyFitting subgroupsoluble radical

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Model-theoretic algebra (03C60) Nilpotent groups (20F18) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

On supersimple groups ⋮ Almost group theory ⋮ ON THE RADICALS OF A GROUP THAT DOES NOT HAVE THE INDEPENDENCE PROPERTY

Cites Work

• Unnamed Item
• Definable envelopes of nilpotent subgroups of groups with chain conditions on centralizers
• Third Engel groups and the Macdonald-Neumann conjecture
• On three-Engel groups

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