Igor Erovenko

Dr. Erovenko earned a Ph.D. in 2002 from the University of Virginia, and he joined the UNCG faculty in 2002. He currently serves as the Director of Undergraduate Studies. His research studies combinatorial properties of linear groups and bounded generation of S-arithmetic groups.

There are 5 included publications by Igor Erovenko :

TitleDateViewsBrief Description
Bounded Generation of S-Arithmetic Subgroups of Isotropic Orthogonal Groups over Number Fields 2006 1359 Let f be a nondegenerate quadratic form in n ¾ 5 variables over a number field K and let S be a finite set of valuations of K containing all Archimedean ones. We prove that if the Witt index of f is ¾ 2 or it is 1 and S contains a non- Archimedean v...
Boundedly Simple Groups Have Trivial Bounded Cohomology 2004 595 The goal of this short note is to observe that the singular part of the second bounded cohomology group of boundedly simple groups constructed in [3] is trivial. Recall that a group G is called m-boundedly simple if every element of G can be represen...
Commutativity Degrees of Wreath Products of Finite Abellian Groups 2008 1356 We compute commutativity degrees of wreath products AoB of finite abelian groups A and B. When B is fixed of order n the asymptotic commutativity degree of such wreath products is 1=n2. This answers a generalized version of a question posed by P. ...
On Bounded Cohomology of Amalgamated Products of Groups 2004 1207 We investigate the structure of the singular part of the second bounded cohomology group of amalgamated products of groups by constructing an analog of the initial segment of the Mayer-Vietoris exact cohomology sequence for the spaces of pseudochara...
SLn(F [x]) Is Not Boundedly Generated by Elementary Matrices: Explicit Proof 2004 1177 Using methods of higher algebraic K-theory, van der Kallen proved that SLn(F [x]) does not have bounded word length with respect to elementary matrices if the field F has infinite transcendence degree over its prime subfield. We exhibit a short expl...