Growth of groups and graded algebras

DOI10.1080/00927878408823120zbMath0547.20026OpenAlexW1968893907MaRDI QIDQ3338435

Nicholas Billington

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823120

zbMATH Keywords

graded algebrasfinitely generated abelian groupsolvable word problemstratified groupsrational growthgrowth power seriesgrowth functions of groupsrationality of the Hilbert-Poincaré series

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Graded rings and modules (associative rings and algebras) (16W50) Homological methods in commutative ring theory (13D99)

Related Items

Growth of groups and graded algebras: Erratum, Growth series of central amalgamations

Cites Work

• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On the structure of Hopf algebras
• Graded algebras
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups