Israel Journal of Mathematics

, Volume 84, Issue 1, pp 65–87

Homology of free Lie powers and torsion in groups

  • Ralph Stöhr

DOI: 10.1007/BF02761691

Cite this article as:
Stöhr, R. Israel J. Math. (1993) 84: 65. doi:10.1007/BF02761691


LetG be a group that is given by a free presentationG=F/R, and letγ4R denote the fourth term of the lower central series of R. We show that ifG has no elements of order 2, then the torsion subgroup of the free central extensionF/[γ4R,F] can be identified with the homology groupRγ6(G, ℤ/2ℤ). This is a consequence of our main result which refers to the homology ofG with coefficients in Lie powers of relation modules.

Copyright information

© The Magnes Press 1993

Authors and Affiliations

  • Ralph Stöhr
    • 1
  1. 1.Department of MathematicsUMISTManchesterEngland