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On five well-known commutator identities
(Cambridge University Press (CUP), 1993-02-01)
We conjecture that five well-known identities universally satisfied by commutators in a group generate all such universal commutator identities. We use homological techniques to partially prove the conjecture.
On the higher universal quadratic functors and related computations
(Elsevier BV, 1991-07-01)
Homotopical aspects of lie algebras
(Cambridge University Press (CUP), 1993-06-01)
The Hurewicz theorem, Mayer-Vietoris sequence, and Whitehead's certain exact sequence are proved for simplicial Lie algebras. These results are applied, using crossed module techniques, to obtain information on the low ...
A non-abelian tensor product of lie algebras
(Cambridge University Press (CUP), 1991-01-01)
Relative derived contravariant functors and the cohomology of groups
(Elsevier BV, 1990-05-01)
A mayer-vietoris sequence in group homology and the decomposition of relation modules
(Cambridge University Press (CUP), 1995-05-01)