Mathematics > Group Theory
[Submitted on 1 Jan 2018 (v1), last revised 25 Apr 2018 (this version, v2)]
Title:Word maps on perfect algebraic groups
View PDFAbstract: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 with constants. We also consider the surjectivity problem for particular words and groups, give a brief survey of recent results, present some generalizations and variations and discuss various approaches, with emphasis on new ideas, constructions and connections.
Submission history
From: Eugene Plotkin [view email][v1] Mon, 1 Jan 2018 01:38:30 UTC (33 KB)
[v2] Wed, 25 Apr 2018 08:41:47 UTC (31 KB)
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