Homology of free Lie powers and torsion in groups |
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Authors: | Ralph Stöhr |
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Institution: | (1) Department of Mathematics, UMIST, M60 1QD Manchester, England |
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Abstract: | LetG be a group that is given by a free presentationG=F/R, and letγ4
R 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/γ4
R,F] can be identified with the homology groupR
γ6(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. |
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Keywords: | |
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