arXiv subjects

B. Mirzaii

Publications and source records attributed to B. Mirzaii.

2 recordsLinked to original sources

arXiv2012

Homology stability for symplectic groups

In this paper the homology stability for symplectic groups over a ring with finite stable rank is established. First we develop a `nerve theorem' on the homotopy type of a poset in terms of a cover by subposets, where the cover is itself indexed by a poset. We use the nerve theorem to show that a poset of sequences of isotropic vectors is highly connected, as conjectured by Charney in the eighties.

math.KT↗

arXiv2009

A note on third homology of GL_2

In this paper the third homology group of the linear group GL_2(R) with integral coefficients is investigated, where R is a commutative ring with many units.

math.KT↗