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

Ted Hurley

Vol. 82 (1979), No. 1, 105–116

DOI: 10.2140/pjm.1979.82.105

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