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- Boris Kunyavskii
- 2008

The subgroup of the Schur multiplier of a finite group G consisting of all cohomology classes whose restriction to any abelian subgroup of G is zero is called the Bogomolov multiplier of G. We proveâ€¦ (More)

- Alexander Gurevich, Boris Kunyavskii
- Finite Fields and Their Applications
- 2012

We develop a general framework for producing deterministic primality tests based on commutative group schemes over rings of integers. Our focus is on the cases of algebraic tori and elliptic curves.â€¦ (More)

- Boris Kunyavskii
- 2008

We prove that the solvable radical of a finite group G coincides with the set of elements y having the following property: for any x âˆˆ G the subgroup of G generated by x and y is solvable. We presentâ€¦ (More)

A linear algebraic group G over a field k is called a Cayley group if it admits a Cayley map, i.e., a G-equivariant birational isomorphism over k between the group variety G and its Lie algebra. Aâ€¦ (More)

- Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskii, Eugene Plotkin, N. Gordeev, Fritz Grunewald
- 2006

We are looking for the smallest integer k > 1 providing the following characterization of the solvable radical R.G/ of any finite group G: R.G/ coincides with the collection of all g 2 G such thatâ€¦ (More)

- JEAN-LOUIS COLLIOT-THÃ‰LÃˆNE, Boris Kunyavskii, Vladimir L. Popov, Zinovy Reichstein
- 2009

Let k be a field of characteristic zero, let G be a connected reductive algebraic group over k and let g be its Lie algebra. Let k(G), respectively, k(g), be the field of k-rational functions on G,â€¦ (More)

Let G be a connected linear algebraic group over a geometric field k of cohomological dimension 2 of one of the types which were considered by Colliot-ThÃ©lÃ¨ne, Gille and Parimala. Basing on theirâ€¦ (More)

- Mikhail Borovoi, Boris KunyavskÄÄ±, Boris Kunyavskii
- 2006

For a smooth compactification V of a principal homogeneous space E under a connected linear algebraic group G defined over a field k of characteristic zero, we present two formulas expressing BrV/Brkâ€¦ (More)

- Fritz Grunewald, Boris Kunyavskii, Eugene Plotkin
- IJAC
- 2013

We give a survey of new characterizations of finite solvable groups and the solvable radical of an arbitrary finite group which were obtained over the past decade. We also discuss generalizations ofâ€¦ (More)

by evaluation. Namely, wÌƒ(g1, . . . , gm) is obtained by substituting gi in place of xi and g âˆ’1 i in place of xâˆ’1 i followed by computing the resulting value w(g1, . . . , gm). Word maps have beenâ€¦ (More)