On the homology of GL_n and higher pre-Bloch groups, by Serge A. Yagunov

For any positive integer number n we construct a spectral sequence converging to the homology of GL_n relatively to GM_n. Some generalization of the Bloch group to higher dimensions appears as an entry of the E^2-term of corresponding spectral sequence. These groups may be characterized as birelative homology groups.

We give some applications of constructed machinery to the estimation of kernels of maps on homology induced by natural inclusions GL_{n-1} to GL_n.

An improved version of the paper has appeared in the Canadian Journal of Mathematics, 52 (2000) 1310-1338, and is available online to subscribers here.

Serge A. Yagunov <yagunov@mpim-bonn.mpg.de>