Periodic locally soluble groups with the minimal condition on centralizers

DOI10.1016/0021-8693(79)90284-9zbMath0427.20028OpenAlexW2058425515MaRDI QIDQ1136856

Roger M. Bryant, Brian Hartley

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90284-9

zbMATH Keywords

Sylow subgroupsminimal condition on centralizersperiodic locally soluble group

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

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Cites Work

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• Groups with the minimal condition on centralizers
• Sylow subgroups of locally finite CZ-groups
• Strong finiteness conditions in locally finite groups
• Saturated formations and Sylow structure in locally finite groups
• Sylow p-subgroups and local p-solubility
• A class of modules over a locally finite group II
• Solubility in Locally Soluble CZ-Groups
• ON LOCALLY FINITE CZ-GROUPS
• Some Structure Theorems for CZ -Groups
• Sylow Subgroups of Locally Finite Groups
• Automorphisms of solvable groups

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