Finite p-groups that are close to groups of prime period

DOI10.1007/BF01978887zbMath0614.20010MaRDI QIDQ1820235

Eugenii I. Khukhro

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/187347

zbMATH Keywords

Lie ringFrattini subgroupHughes conjecturemultilinear identitygeneralized Hughes subgroupfree group of prime exponent

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Associated Lie structures for groups (20F40)

Related Items (1)

The average element order and the number of conjugacy classes of finite groups

Cites Work

• The \(H_p\)-problem and the structure of \(H_p\)-groups
• On the Hughes problem for exponent \(p^ 2\)
• Démonstration d'une hypothèse de M. Artin
• The Power Structure of Metabelian p-Groups
• The Hughes problem for exponent nine
• Secretive prime-power groups of large rank
• On the Lie ring of a group of prime exponent II
• On Finite Groups With ‘Hidden’ Primes

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