Uniform exponential growth in twisted polynomial algebras

DOI10.1080/00927872.2020.1813745zbMath1484.16023OpenAlexW3083375936MaRDI QIDQ5148561

Christopher A. Briggs

Publication date: 4 February 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2020.1813745

zbMATH Keywords

growthexponential growthuniform exponential growthasymptotic properties of groups

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Asymptotic properties of groups (20F69) Twisted and skew group rings, crossed products (16S35)

Cites Work

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• Uniform growth of polycyclic groups
• Uniform independence in linear groups.
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On uniform exponential growth for linear groups.
• Growth of finitely generated solvable groups
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• Universal Enveloping Algebras with Subexponential but not Polynomially Bounded Growth
• Examples of uniform exponential growth in algebras

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