Finite Groups with Some Subgroups of Given Order

DOI10.1142/S1005386713000436zbMath1278.20012MaRDI QIDQ2854033

Cui Zhang, Jiangtao Shi, Deng-Feng Liang

Publication date: 17 October 2013

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

zbMATH Keywords

finite groupsequal order subgroupsnon-solvable groupsnumbers of non-nilpotent subgroupsnumbers of conjugacy classes of subgroupsnon-prime-power order subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items (1)

On the number of same order classes of non-abelian subgroups of a finite group

Cites Work

• On finite insoluble groups with nilpotent maximal subgroups
• The classification of minimal non-prime-power order groups
• On finite simple groups of order divisible by three primes only
• Finite Groups with Given Quantitative Non-Nilpotent Subgroups
• Finite groups with few non-cyclic subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable
• On a class of doubly transitive groups

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