A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS

DOI10.1017/S0004972710001747zbMath1220.20015MaRDI QIDQ3169348

D. Imperatore, Mark L. Lewis

Publication date: 28 April 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cyclic subgroupslocally cyclic groupspartitioned groupscyclic transitive groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Finite simple groups and their classification (20D05)

Related Items (2)

The cyclic graph (deleted enhanced power graph) of a direct product ⋮ THE CYCLIC GRAPH OF A Z-GROUP

Cites Work

• Partitionen endlicher Gruppen
• Groups in which commutativity is a transitive relation
• Subgroup lattices of groups
• Finite groups in which some property of two-generator subgroups is transitive
• Bigenetic properties of finitely generated hyper- (Abelian-by-finite) groups
• Endliche Gruppen I

This page was built for publication: A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS