The indices of subgroups of finite groups in the join of their conjugate pairs.

DOI10.1007/s40840-015-0123-3zbMath1347.20019OpenAlexW2168322532MaRDI QIDQ262967

Xianhua Li, Yong Xu

Publication date: 4 April 2016

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/s40840-015-0123-3

zbMATH Keywords

finite groupssolvable groupssupersolvable groupsconjugate subgroup pairsindices of subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Characterizations of finite groups with \(\mathbf{P}\)-fusion of squarefree type ⋮ A note on the structure of a finite group \(G\) having a subgroup \(H\) maximal in \(\langle H,H^g\rangle\)

Cites Work

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• On finite simple groups of order divisible by three primes only
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• On Large Zsigmondy Primes
• Classes of Finite Groups
• Nonsolvable finite groups all of whose local subgroups are solvable
• On a class of doubly transitive groups
• On simple \(K_4\)-groups

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