Vol. 82, No. 1, 1979

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Intersections of terms of polycentral series of free groups and free Lie algebras

Ted Hurley

Vol. 82 (1979), No. 1, 105–116
Abstract

This paper is concerned with deriving bases for the lower central factors of a free group modulo the intersection of certain terms of the polycentral series with the lower central series, and with the identification of the intersections themselves. The results from the group case are used to derive analogous results for the free Lie Algebra.

Mathematical Subject Classification 2000
Primary: 20F14
Secondary: 17B40
Milestones
Received: 13 September 1977
Revised: 9 June 1978
Published: 1 May 1979
Authors
Ted Hurley