9 citations · 10 across the 6 of their papers we have counts for
4 papers · 1 filter
Word maps on perfect algebraic groups
Nikolai Gordeev, Boris Kunyavskii, Eugene Plotkin
We extend Borel's theorem on the dominance of word maps from semisimple algebraic groups to some perfect groups. In another direction, we generalize Borel's theorem to some words w…
Word maps, word maps with constants and representation varieties of one-relator groups
Nikolai Gordeev, Boris Kunyavskii, Eugene Plotkin
We consider word maps and word maps with constants on a simple algebraic group. We present results on the images of such maps, in particular, we prove a theorem on the dominance of…
From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical
Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskii +1
We prove that an element of prime order belongs to the solvable radical of a finite (or, more generally, a linear) group if and only if for every the subgr…
A commutator description of the solvable radical of a finite group
Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskii +1
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…