Hughes problem for finite \(p\)-groups.

DOI10.1007/BF01978693zbMath0665.20009OpenAlexW1965084113MaRDI QIDQ1115964

Eugenii I. Khukhro

Publication date: 1987

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01978693

zbMATH Keywords

finite \(p\)-groupsHughes problem

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (5)

On a theorem of Hughes and Thompson ⋮ The average element order and the number of conjugacy classes of finite groups ⋮ On counterexamples to the Hughes conjecture. ⋮ Transitive permutation groups with bounded movement having maximal degree ⋮ The subgroups of Baer and Hughes

Cites Work

• Generalized incidence matrices over group algebras
• The \(H_p\)-problem and the structure of \(H_p\)-groups
• On the multilinear identities which hold in the Lie ring of a group of prime-power exponent
• Partial Difference Sets
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• On a Problem of D. R. Hughes
• Automorphisms of Solvable Groups
• The Hughes Problem and others
• On the H p -Problem for Finite p-Groups
• Solution of the Hughes Problem for Finite p-Groups of Class 2p - 2
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