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math.GR2018
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…
math.GR2018
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…