Locally finite groups with finitely many isomorphism classes of derived subgroups.

DOI10.1016/J.JALGEBRA.2013.06.036zbMath1294.20049OpenAlexW1991761014MaRDI QIDQ2438387

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

Publication date: 11 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.06.036

zbMATH Keywords

locally finite groupscommutator subgroupsisomorphism typesderived subgroups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items (6)

Groups with finitely many isomorphic classes of non-abelian subgroups ⋮ Unnamed Item ⋮ Groups with finitely many isomorphic classes of relevant 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

Cites Work

• Some p-groups of Frobenius and extra-special type
• Groups with finitely many derived subgroups of non-normal subgroups.
• ON GROUPS WITH TWO ISOMORPHISM CLASSES OF DERIVED SUBGROUPS
• On a Class of Metabelian Groups
• Generalizing Camina groups and their character tables
• GROUPS WITH FINITELY MANY DERIVED SUBGROUPS
• Unnamed Item
• Unnamed Item

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