Construction of finite p-groups that admit partitions

DOI10.1007/BF00970924zbMath0727.20015MaRDI QIDQ803275

Eugenii I. Khukhro

Publication date: 1989

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

partitionmultilinear identitiesHughes subgroupassociated Lie ringd-generator finite p-groupHigman functionnilpotency degreerelatively free Lie ringsubgroup of index p

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (2)

On periodic groups having almost regular 2-elements ⋮ Infinite groups containing a proper Hughes subgroup \(H_3(G)\)

Cites Work

• The \(H_p\)-problem and the structure of \(H_p\)-groups
• Partitionen endlicher Gruppen
• Die Nilpotenz der \(H_ p\)-Gruppen
• A Meier-Wunderli theorem for \(H_ p\)-subgroups
• Finite \(p\)-groups admitting an automorphism of order \(p\) with a small number of fixed points
• On the multilinear identities which hold in the Lie ring of a group of prime-power exponent
• Properties of groups related to the second center
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• SOME REMARKS ON VARIETIES OF GROUPS
• Automorphisms of Solvable Groups
• The Hughes Problem and others
• Nearly Regular p-Groups
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