1 citations · 1 across the 5 of their papers we have counts for
6 papers
The homology of of discrete valuation rings
Kevin Hutchinson, Behrooz Mirzaii, Fatemeh Yeganeh Mokari
Let be a discrete valuation ring with field of fractions and (sufficiently large) residue field . We prove that there is a natural exact sequence $H_3(\mathrm{SL}_2(A),\…
Virtual rational Betti numbers of nilpotent-by-abelian groups
Behrooz Mirzaii, Fatemeh Yeganeh Mokari
In this paper we study virtual rational Betti numbers of a nilpotent-by-abelian group , where the abelianization of its nilpotent part satisfies certain tameness prop…
The third homology of stem-extensions and Whitehead's quadratic functor
Behrooz Mirzaii, Fatemeh Yeganeh Mokari, David M. Carbajal Ordinola
Let be a stem-extension and let be the multiplication map. We show that there is a natural map $φ: H_1(Σ_2^ε, {\rm Tor…
Third homology of perfect central extensions
Behrooz Mirzaii, Fatemeh Yeganeh Mokari, David M. Carbajal Ordinola
For a central perfect extension of groups , first we study the natural image of in . As a particula…
Some remarks on the homology of nilpotent groups
Behrooz Mirzaii, Fatemeh Yeganeh Mokari
In this article we study the homology of nilpotent groups. In particular a certain vanishing result for the homology and cohomology of nilpotent groups is proved.
Bloch-Wigner theorem over rings with many units II
Behrooz Mirzaii, Fatemeh Y. Mokari
In this article we prove a generalization of the Bloch-Wigner exact sequence over commutative rings with many units. When the ring is a domain, we get a generalization of Suslin's…