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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1988 Volume 52, Issue 5, Pages 1091–1101 (Mi im1220)

Multilinear identities in Lie rings associated with periodic groups

N. N. Repin


Abstract: In this paper a complete basis is found for the system of multilinear identities of the Lie algebra $L(B(\infty,q))$ associated with a free periodic group $B(\infty,q)$ of countable rank and of arbitrary exponent $q\in\mathbf N$. This result is a generalization of one of Vaughan-Lee for groups of prime exponent.
Bibliography: 7 titles.

UDC: 512.5

MSC: Primary 17B60, 20F40; Secondary 20F50

Received: 05.03.1988


 English version:
Mathematics of the USSR-Izvestiya, 1989, 33:2, 413–423

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