Groups in which the derived groups of all 2-generator subgroups are cyclic.

zbMath1167.20322MaRDI QIDQ833474

Mercede Maj, Howard Smith, Patrizia Longobardi

Publication date: 13 August 2009

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108683

zbMATH Keywords

torsion-free groupslocally graded groups2-generator subgroups\(p\)-groupsfinite groups of odd orderderived groupsnormal nilpotent subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Cites Work

• Some sufficient conditions for a group to be nilpotent
• Minimal nicht überauflösbare, endliche Gruppen
• On a Special Class of Regular p-Groups
• Weak Maximality Condition and Polycyclic Groups
• Bigenetic properties of finitely generated hyper- (Abelian-by-finite) groups
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