On sequences of word maps of compact topological groups

DOI10.1007/s10958-022-05979-6OpenAlexW4283713562MaRDI QIDQ2151741

Nikolai Gordeev

Publication date: 5 July 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05979-6

Mathematics Subject Classification ID

Linear algebraic groups and related topics (20Gxx) Special aspects of infinite or finite groups (20Fxx) Lie groups (22Exx)

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 \(\mathrm{SL}(2,\mathbb {C})\)
• On free subgroups of semi-simple groups
• Recursive sequences of surjective word maps for the algebraic groups \(\mathrm{PGL}_2\) and \({{\mathrm{SL}}}_2\)
• Word maps on perfect algebraic groups
• Convergent Sequences in Discrete Groups
• Geometry of word equations in simple algebraic groups over special fields
• IMAGES OF WORD MAPS IN FINITE SIMPLE GROUPS
• Identities for finite solvable groups and equations in finite simple groups

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