47 citations · 169 across the 62 of their papers we have counts for
5 papers · 2 filters
Generation of relative commutator subgroups in Chevalley groups
Roozbeh Hazrat, Nikolai Vavilov, Zuhong Zhang
Let be a reduced irreducible root system of rank , let be a commutative ring and let be two ideals of . In the present paper we describe generators of the c…
The dynamics of Leavitt path algebras
R. Hazrat
Recently it was shown that the notion of flow equivalence of shifts of finite type in symbolic dynamics is related to the Morita theory and the Grothendieck group in the theory of…
Commutator width in Chevalley groups
Roozbeh Hazrat, Alexei Stepanov, Nikolai Vavilov +1
The present paper is the [slightly expanded] text of our talk at the Conference "Advances in Group Theory and Applications" at Porto Cesareo in June 2011. Our main results assert t…
Multiple Commutator Formulas for Unitary Groups
Roozbeh Hazrat, Nikolai Vavilov, Zuhong Zhang
Let $(\FormR)$ be a form ring such that is quasi-finite -algebra (i.e., a direct limit of module finite algebras) with identity. We consider the hyperbolic Bak's unitary gro…
A note on the isomorphism conjectures for Leavitt path algebras
R. Hazrat
We relate two conjectures which have been raised for classification of Leavitt path algebras. For purely infinite simple unital Leavitt path algebras, it is conjectured that K_0 cl…