On Subgroups Generated by Small Classes in Finite Groups

DOI10.1080/00927872.2012.686126zbMath1281.20026arXiv0905.2674OpenAlexW1977185290MaRDI QIDQ2848507

Manoj K. Yadav

Publication date: 26 September 2013

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

Full work available at URL: https://arxiv.org/abs/0905.2674

zbMATH Keywords

conjugacy classesfinite solvable groupsfinite nilpotent groupsnormal subsetsconjugacy class sizesFitting subgroupnilpotency classessmall elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Special subgroups (Frattini, Fitting, etc.) (20D25) Generators, relations, and presentations of groups (20F05)

Related Items (2)

Conjugacy classes of small size in solvable groups ⋮ Influence of conjugacy class sizes of some elements on the structure of a finite group

Cites Work

• On finite \(p\)-groups which have only two conjugacy lengths
• Flatness Conditions on Finitep-Groups
• Elements of minimal breadth in finite p-groups and lie algebras
• Subgroups generated by small classes in finite groups
• CORRECTION TO ‘CONJUGACY CLASS SIZES IN FINITE GROUPS’
• Automorphisms of finite groups

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