A new measure of growth for groups and algebras

DOI10.1090/S1061-0022-08-01009-1zbMath1204.16018OpenAlexW2072670731MaRDI QIDQ3060208

Waldemar Hołubowski

Publication date: 1 December 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-08-01009-1

zbMATH Keywords

stringsgrowth of groupsgrowth of algebrasgrowth of semigroupsgrowth of Lie algebrasbandwidth dimensionbandwidth growth

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Subgroup theorems; subgroup growth (20E07) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Free semigroups, generators and relations, word problems (20M05) Identities, free Lie (super)algebras (17B01) Other matrix groups over rings (20H25) Algebraic systems of matrices (15A30)

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Sofic profiles of \(S(\omega)\) and computability, Groups of periodically defined linear transformations of an infinite-dimensional vector space

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