Bigenetic properties of finitely generated hyper- (Abelian-by-finite) groups

DOI10.1017/S1446788700015093zbMath0273.20034MaRDI QIDQ5181871

John C. Lennox

Publication date: 1973

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

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Special aspects of infinite or finite groups (20F99)

Related Items (13)

Groups in which the derived groups of all 2-generator subgroups are cyclic. ⋮ A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS ⋮ Polycyclic Frattini factors in certain finitely generated groups ⋮ Groups having many 2-generated subgroups in a given class ⋮ A characterization of nilpotent-by-finite groups in the class of finitely generated soluble groups ⋮ Infinite groups ⋮ Ensuring a Group is Weakly Nilpotent ⋮ Finite by nilpotent Frattini factors in finitely generated hyper-(Abelian by finite) groups ⋮ Finitely generated soluble groups with an Engel condition on infinite subsets ⋮ ON ČERNIKOV-BY-NILPOTENT GROUPS ⋮ Covering a group with isolators of finitely many subgroups ⋮ Infinite soluble groups with Engel cycles; a finiteness condition ⋮ On Certain Weak Engel-Type Conditions in Groups

Cites Work

• Extreme classes of finite soluble groups
• A theorem on finitely generated hyperabelian groups
• Supersoluble and locally supersoluble linear groups
• 2-generator conditions in linear groups
• Centrality in finitely generated soluble groups
• Nilgruppen
• On the Finiteness of Certain Soluble Groups
• Nonsolvable finite groups all of whose local subgroups are solvable
• Transfer Theorems for Periodic Linear Groups
• Groups of Automorphisms of Infinite Soluble Groups
• Finiteness Conditions for Soluble Groups

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