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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.
Received: 05.03.1988
Citation:
N. N. Repin, “Multilinear identities in Lie rings associated with periodic groups”, Math. USSR-Izv., 33:2 (1989), 413–423
Linking options:
https://www.mathnet.ru/eng/im1220https://doi.org/10.1070/IM1989v033n02ABEH000849 https://www.mathnet.ru/eng/im/v52/i5/p1091
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