Skip navigation
Skip navigation

Lie powers of relation modules for groups

Kovacs, L; Stohr, Ralph


Motivated by applications to abstract group theory, we study Lie powers of relation modules. The relation module associated to a free presentation G=F/N of a group G is the abelianization Nab=N/[N,N] of N, with G-action given by conjugation in F. The degree n Lie power is the homogeneous component of degree n in the free Lie ring on Nab (equivalently, it is the relevant quotient of the lower central series of N). We show that after reduction modulo a prime p this becomes a projective G-module,...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Journal of Algebra
DOI: 10.1016/j.jalgebra.2009.10.007


File Description SizeFormat Image
01_Kovacs_Lie_powers_of_relation_modules_2010.pdf177.94 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator