Characterization of finite groups by the number of non-cyclic non-TI-subgroups

DOI10.1007/S40840-015-0247-5zbMath1368.20017OpenAlexW2273996438MaRDI QIDQ503521

Cui Zhang, Jiangtao Shi

Publication date: 13 January 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0247-5

zbMATH Keywords

solvable groupnon-cyclic subgroupnon-TI-subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Cites Work

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• Finite groups with some \(\mathcal M\)-permutable primary subgroups.
• On AAM's conjecture for \(D_n(3)\).
• Finite groups whose Abelian subgroups are TI-subgroups.
• Trivial intersection groups
• Recognition of finite simple groups whose first prime graph components are \(r\)-regular.
• Finite groups containing certain Abelian TI-subgroups.
• The structure of non-nilpotent CTI-groups
• Finite Groups with Given Quantitative Non-Nilpotent Subgroups
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• ON A FINITE GROUP IN WHICH EVERY NON-ABELIAN SUBGROUP IS A TI-SUBGROUP
• A Note on TI-Subgroups of a Finite Group
• FINITE GROUPS IN WHICH ALL NONABELIAN SUBGROUPS ARE TI-SUBGROUPS

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