On the surjectivity of certain word maps on SU(2)

DOI10.1142/S0219498822500372OpenAlexW3092271684MaRDI QIDQ5073321

the Khoi Vu, Minh Toan Ho

Publication date: 6 May 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500372

zbMATH Keywords

trace mapspecial unitary groupword map

Mathematics Subject Classification ID

Special matrices (15Bxx) Other groups of matrices (20Hxx)

Cites Work

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• On the length of the shortest non-trivial element in the derived and the lower central series.
• Surjectivity of certain word maps on \(\mathrm{PSL}(2,\mathbb {C})\) and \(\mathrm{SL}(2,\mathbb {C})\)
• Geometry and arithmetic of verbal dynamical systems on simple groups (with an appendix by Nathan Jones)
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• Topological components of spaces of representations
• A theorem on compact semi-simple groups
• Looking for Pairs that Hard to Separate: A Quantum Approach
• Some word maps that are non-surjective on infinitely many finite simple groups
• About Goto's method showing surjectivity of word maps