ON THE ASSOCIATED LIE RING OF A FREE 2-GENERATOR GROUP OF PRIME EXPONENT AND THE HUGHES CONJECTURE FOR 2-GENERATOR $ p$-GROUPS

DOI10.1070/SM1983v046n04ABEH002953zbMath0519.20033WikidataQ115321145 ScholiaQ115321145MaRDI QIDQ3669636

Eugenii I. Khukhro

Publication date: 1983

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

zbMATH Keywords

2-generator groupsideal of relationsEngel idealHughes conjecturefree \(n\)-generator groups of exponent \(p\)Lie ring of \(B(n,p)\)

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Engel conditions (20F45) Associated Lie structures for groups (20F40)

Related Items (3)

On counterexamples to the Hughes conjecture. ⋮ A nilpotent quotient algorithm for graded Lie rings ⋮ Transitive permutation groups with bounded movement having maximal degree

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