Homology of GL_3(F) for infinite field F, by Behrooz Mirzaii

The homology of GL_3(F) with coefficients in Z and Z[1/2] is studied, where F is an infinite field. The main theorem states that the natural map H_3(GL_2(F), Z[1/2]) --> H_3(GL_3(F), Z[1/2]) is injective. Using this we will study the indecomposable part of K_3(F).

Behrooz Mirzaii <mirzaii@math.uu.nl>