On finite \(p\)-groups not satisfying the Hughes conjecture

DOI10.1007/BF02104943zbMath0835.20031OpenAlexW2046838141MaRDI QIDQ1897980

Eugenii I. Khukhro

Publication date: 20 September 1995

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

Full work available at URL: https://doi.org/10.1007/bf02104943

zbMATH Keywords

finite \(p\)-groupsmultilinear identitiesnilpotency classminimal numbers of generatorsHughes subgroupnilpotency classesassociated Lie rings\((p-1)\)-Engel Lie rings

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Identities, free Lie (super)algebras (17B01) 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 (2)

Integrable geodesic flows of nonholonomic metrics ⋮ On counterexamples to the Hughes conjecture.

Cites Work

• On a constrained variational problem and the space of horizontal paths
• Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles
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