A note on groups covered by conjugates of a proper subgroup.

DOI10.1016/J.JALGEBRA.2012.08.001zbMath1273.20031OpenAlexW1996564569MaRDI QIDQ1950628

Enrico Jabara

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.08.001

zbMATH Keywords

involutionsperiodic groupslocally finite groupsfiniteness conditionsunions of subgroupscoverings of groupsunions of conjugates of subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• Transitive groups with fixed-point free permutations
• Strong finiteness conditions in locally finite groups
• Groups covered by conjugates of proper subgroups.
• On groups with finite involution and locally finite 2-isolated subgroup of even period

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