Petersburg Department of Steklov Institute of Mathematics

PREPRINT 10/1998

χωσϋιε PRE-BLOCH ηςυππω ι ιθ πςιμοφεξιε λ ιϊυώεξιΰ ηονομοηικ ηςυππω $GL_n$

This preprint was accepted March, 1998
Contact: S.Ya. Yagunov

ABSTRACT: 
We study the spectral sequence connecting higher pre-Bloch groups and 
the  homology of the pair  $(GL_n(F),GM_n(F))$. It allows us to identify in
low dimensions the groups $\wp^n(F)$ with the direct sum of the
indecomposable parts in the homology groups of the triple 
$(GL_n\{GM_n,GL_{n-1}\})$.