About Goto's method showing surjectivity of word maps
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Publication:2940953
DOI10.1512/iumj.2014.63.5391zbMath1320.20033arXiv1207.5596OpenAlexW2962951590WikidataQ61677663 ScholiaQ61677663MaRDI QIDQ2940953
Abdelrhman Elkasapy, Andreas Thom
Publication date: 21 January 2015
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.5596
General properties and structure of complex Lie groups (22E10) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Algebraic geometry over groups; equations over groups (20F70)
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On the surjectivity of certain word maps on SU(2) ⋮ Topology. Abstracts from the workshop held September 14--20, 2014. ⋮ Word equations in simple groups and polynomial equations in simple algebras. ⋮ The Waring problem for Lie groups and Chevalley groups ⋮ Commutators in special linear groups over certain division rings ⋮ Word maps with constants on symmetric groups ⋮ A certain decomposition of infinite invertible matrices over division algebras ⋮ On a Conjecture by Christian Choffrut ⋮ Word maps on perfect algebraic groups ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ Surjectivity of certain word maps on \(\mathrm{PSL}(2,\mathbb {C})\) and \(\mathrm{SL}(2,\mathbb {C})\) ⋮ Word maps and word maps with constants of simple algebraic groups ⋮ Products of commutators on a general linear group over a division algebra ⋮ Word images in symmetric and classical groups of Lie type are dense ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Looking for Pairs that Hard to Separate: A Quantum Approach
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