Word maps on perfect algebraic groups
| Autor: | Nikolai Gordeev, Boris Kunyavskiĭ, Eugene Plotkin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Linear algebraic group
Pure mathematics General Mathematics 010102 general mathematics Perfect group Group Theory (math.GR) 01 natural sciences Dominance (ethology) 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Algebraic number Mathematics - Group Theory Group theory Word (group theory) Mathematics |
| Zdroj: | International Journal of Algebra and Computation |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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