Add to ORKGAbstract. We use the properties of the refined Bloch group to prove that H3 of SL2 of a global field is never finitely-generated, and to calculate H3 of SL2 of local fields with odd residue characteristic up to some 2-torsion. We also give lower bounds for the 3-rank of the homology groups H3(SL2(OS),Z)
AbstractWe show that homotopy invariance fails for homology of elementary groups of rank two over in...
We dene an extended Bloch group and show it is naturally isomorphic to H3(PSL(2;C) ;Z). Using the Ro...
It is known that, for an infinite field F, the indecomposable part of 'K IND. 3' (F) and the third h...
We use the properties of the refined Bloch group to study the structure of H3(SL2(F), Z) for a fiel...
Abstract. We calculate, for certain higher-dimensional local fields F, the third homology of SL2(F) ...
, in terms of a re-fined Bloch group. We use this to derive a localization sequence for the third ho...
The goal of the paper is to achieve - in the special case of the linear group SL2 - some understandi...
We introduce a refinement of the Bloch-Wigner complex of a field F. This refinement is complex of mo...
The goal of the paper is to achieve - in the special case of the linear group SL2 - some understandi...
AbstractWe study the relationship between the third homology group of SL2(R) and K3(R), for R in a l...
We prove that for any infinite field F, the map H-3(SLn(F), Z) -> H-3(SLn+1 (F), Z) is an isomorphis...
Abstract. We prove analogues of the fundamental theorem of K-theory for the second and third homolog...
Abstract. The third homology group of GLn(R) is studied, where R is a ‘ring with many units ’ with c...
AbstractWe prove that for any infinite field F, the map H3(SLn(F),Z)→H3(SLn+1(F),Z) is an isomorphis...
We prove analogues of the fundamental theorem of K -theory for the second and the third homology of...
AbstractWe show that homotopy invariance fails for homology of elementary groups of rank two over in...
We dene an extended Bloch group and show it is naturally isomorphic to H3(PSL(2;C) ;Z). Using the Ro...
It is known that, for an infinite field F, the indecomposable part of 'K IND. 3' (F) and the third h...
We use the properties of the refined Bloch group to study the structure of H3(SL2(F), Z) for a fiel...
Abstract. We calculate, for certain higher-dimensional local fields F, the third homology of SL2(F) ...
, in terms of a re-fined Bloch group. We use this to derive a localization sequence for the third ho...
The goal of the paper is to achieve - in the special case of the linear group SL2 - some understandi...
We introduce a refinement of the Bloch-Wigner complex of a field F. This refinement is complex of mo...
The goal of the paper is to achieve - in the special case of the linear group SL2 - some understandi...
AbstractWe study the relationship between the third homology group of SL2(R) and K3(R), for R in a l...
We prove that for any infinite field F, the map H-3(SLn(F), Z) -> H-3(SLn+1 (F), Z) is an isomorphis...
Abstract. We prove analogues of the fundamental theorem of K-theory for the second and third homolog...
Abstract. The third homology group of GLn(R) is studied, where R is a ‘ring with many units ’ with c...
AbstractWe prove that for any infinite field F, the map H3(SLn(F),Z)→H3(SLn+1(F),Z) is an isomorphis...
We prove analogues of the fundamental theorem of K -theory for the second and the third homology of...
AbstractWe show that homotopy invariance fails for homology of elementary groups of rank two over in...
We dene an extended Bloch group and show it is naturally isomorphic to H3(PSL(2;C) ;Z). Using the Ro...
It is known that, for an infinite field F, the indecomposable part of 'K IND. 3' (F) and the third h...