F. Mokari

activity

20112020

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

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2020 · math.KTShow all

3 papers · 2 filters

math.KT2020

The homology of $SL_{2}$ of discrete valuation rings

Kevin Hutchinson, Behrooz Mirzaii, Fatemeh Yeganeh Mokari

Let $A$ be a discrete valuation ring with field of fractions $F$ and (sufficiently large) residue field $k$ . We prove that there is a natural exact sequence $H_3(\mathrm{SL}_2(A),\…

math.KT2020

The third homology of stem-extensions and Whitehead's quadratic functor

Behrooz Mirzaii, Fatemeh Yeganeh Mokari, David M. Carbajal Ordinola

Let $A ↣ G ↠ Q$ be a stem-extension and let $ρ : A \times G \to G$ 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 $A ↣ G ↠ Q$ , first we study the natural image of $H_{3} (A, Z)$ in $H_{3} (G, Z)$ . As a particula…

The homology of SL2​ of discrete valuation rings

The third homology of stem-extensions and Whitehead's quadratic functor

Third homology of perfect central extensions

The homology of $SL_{2}$ of discrete valuation rings