On linear groups with the property of order finiteness of all primitive words in generators

DOI10.1007/S10958-018-3947-1zbMath1401.20052OpenAlexW2887891364WikidataQ129462038 ScholiaQ129462038MaRDI QIDQ1991546

V. V. Benyash-Krivets, A. N. Admiralova

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1007/s10958-018-3947-1

zbMATH Keywords

primitive wordsinfinite finitely generated linear groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Automorphism groups of groups (20F28) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• On the linearity of automorphism groups of free groups
• New combinatorial properties of linear groups
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