Idempotent chains and bounded generation of \(\mathrm{SL}_2\)

DOI10.1016/j.jpaa.2023.107427OpenAlexW4376129270MaRDI QIDQ6103348

Dinesh Khurana, Xavier Mary, Pace P. Nielsen

Publication date: 26 June 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2023.107427

zbMATH Keywords

stable rangeassociate idempotentsbounded generation of \(\mathrm{SL}_2\)terminating division chains

Mathematics Subject Classification ID

Conditions on elements (16U99) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Units, groups of units (associative rings and algebras) (16U60) Euclidean rings and generalizations (13F07) Idempotent elements (associative rings and algebras) (16U40)

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