On surjectivity of word maps on \(\mathrm{PSL}_2\)

DOI10.1016/J.JALGEBRA.2021.08.014OpenAlexW3197118878MaRDI QIDQ1984369

Urban Jezernik, Jonatan Sánchez

Publication date: 16 September 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12534

zbMATH Keywords

word map\(\mathrm{PSL}_2\)

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Related Items (1)

Surjectivity of word maps on special linear groups of degree 2

Cites Work

• Surjectivity of certain word maps on \(\mathrm{PSL}(2,\mathbb {C})\) and \(\mathrm{SL}(2,\mathbb {C})\)
• On free subgroups of semi-simple groups
• Word maps, word maps with constants and representation varieties of one-relator groups
• Recursive sequences of surjective word maps for the algebraic groups \(\mathrm{PGL}_2\) and \({{\mathrm{SL}}}_2\)
• Most words are geometrically almost uniform
• Probabilistic Waring problems for finite simple groups

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