Finite Groups with Few Non-Abelian Subgroups

DOI10.1080/00927872.2013.851208zbMath1334.20024OpenAlexW2093963408MaRDI QIDQ5249900

Wei Meng

Publication date: 13 May 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.851208

zbMATH Keywords

numbers of conjugacy classesfinite groupssolvabilitysolvable groupsnon-Abelian subgroupsfinite non-solvable groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05)

Related Items

Finite groups with some non-abelian subgroups of non-prime-power order, On the number of same order classes of non-abelian subgroups of a finite group, Finite groups with three nonabelian subgroups

Cites Work

• Endliche Gruppen mit lauter nilpotenten zweitmaximalen Untergruppen
• Solvability of groups of odd order
• The Influence of Some Quantitative Properties of Abelian Subgroups on Solvability of Finite Groups
• Endliche Gruppen I