most citedVirtual rational Betti numbers of nilpotent-by-abelian groups

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.KT2020

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),\…

math.GR2020★ 1 cited

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…

math.KT2020

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…

math.KT2020

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…