Finite groups in which some property of two-generator subgroups is transitive

DOI10.1017/S000497270003923XzbMath1119.20020MaRDI QIDQ3442327

Primož Moravec, Chiara Nicotera, Costantino Delizia

Publication date: 18 May 2007

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

zbMATH Keywords

Frobenius groupsnilpotent groupsdihedral groupssolvable groupsclasses of finite groupsbigenetic propertiesbigenetic subgroup closed classestransitivity for being pairs of generators

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS ⋮ Graphs, partitions and classes of groups. ⋮ The solubility graph associated with a finite group ⋮ Centralizers in Lie algebras

Cites Work

• Unnamed Item
• Groups in which commutativity is a transitive relation
• The Nonexistence of a Certain Type of Simple Groups of Odd Order
• Finite Groups with Nilpotent Centralizers
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• On a class of doubly transitive groups

This page was built for publication: Finite groups in which some property of two-generator subgroups is transitive