ON GROUPS WITH TWO ISOMORPHISM CLASSES OF DERIVED SUBGROUPS

DOI10.1017/S0017089512000821zbMath1287.20046MaRDI QIDQ2845580

Howard Smith, Derek J. S. Robinson, Patrizia Longobardi, Mercede Maj

Publication date: 2 September 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

soluble groupsnilpotent groupscommutator subgroupsderived subgroups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Nilpotent groups (20F18) Derived series, central series, and generalizations for groups (20F14)

Related Items (8)

Groups with finitely many isomorphic classes of non-abelian subgroups ⋮ Unnamed Item ⋮ Groups with finitely many isomorphic classes of relevant subgroups ⋮ Locally finite groups with finitely many isomorphism classes of derived subgroups. ⋮ On groups with two isomorphism classes of central factors ⋮ On the number of isomorphism classes of derived subgroups ⋮ Groups with finitely many non-isomorphic factor-groups ⋮ On groups with finitely many derived subgroups

Cites Work

• On the cohomology of soluble groups of finite rank
• Groups with finitely many derived subgroups of non-normal subgroups.
• Polyminimaxgruppen
• Free subgroups in linear groups
• GROUPS WITH FINITELY MANY DERIVED SUBGROUPS

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