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20112020
most citedVirtual rational Betti numbers of nilpotent-by-abelian groups

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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.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…

math.KT2012

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.

math.KT2011

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…