Finite groups with few non-cyclic subgroups

DOI10.1515/JGT.2007.018zbMath1123.20020OpenAlexW1988718986MaRDI QIDQ3429464

Xubo Zhao, Shi-Rong Li

Publication date: 2 April 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2007.018

zbMATH Keywords

numbers of conjugacy classesfinite soluble groupscyclic subgroupsderived lengthsFitting lengthsnon-cyclic subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (10)

A note on finite groups in which all noncyclic proper subgroups have the same order ⋮ On the sum of non-cyclic subgroups order in a finite group ⋮ Soluble groups with few conjugate classes of non-cyclic subgroups ⋮ An inequality on derived length of a solvable group. ⋮ A note on the conjugacy classes of non-cyclic subgroups ⋮ On Solvability of Groups with a Few Non-cyclic Subgroups ⋮ The Influence of the Number of Non-(sub)normal Non-abelian Subgroups on Solvability of Finite Groups ⋮ Finite Groups with Given Quantitative Non-Nilpotent Subgroups ⋮ Finite solvable groups with few non-cyclic subgroups ⋮ Finite Groups with Some Subgroups of Given Order

Cites Work

• Minimal nicht überauflösbare, endliche Gruppen

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