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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The determination of the Lie algebra associated to the lower central series of a group


Author: John P. Labute
Journal: Trans. Amer. Math. Soc. 288 (1985), 51-57
MSC: Primary 20F40; Secondary 17B50, 20F14
MathSciNet review: 773046
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Abstract: In this paper we determine the Lie algebra associated to the lower central series of a finitely presented group in the case where the defining relators satisfy certain independence conditions. Other central series, such as the lower $ p$-central series, are treated as well.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0773046-8
PII: S 0002-9947(1985)0773046-8
Keywords: Groups, defining relators, lower central series, Lie algebra
Article copyright: © Copyright 1985 American Mathematical Society