On the dependence of the growth rate on the length of the defining relator

DOI10.1007/BF02675367zbMath0979.20033OpenAlexW1991384866MaRDI QIDQ1569766

A. G. Shukhov

Publication date: 1 April 2001

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02675367

zbMATH Keywords

growth ratesfinitely presented groupssmall cancellation conditions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

Growth of quotients of groups acting by isometries on Gromov-hyperbolic spaces. ⋮ Patterson-Sullivan measures and growth of relatively hyperbolic groups ⋮ Growth and cogrowth of normal subgroups of a free group ⋮ Conformal dimension and random groups.

Cites Work

• Unnamed Item
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Growth series for the group \(\langle x,y\mid x^{-1}yx=y^ l\rangle\)
• Growth functions, rewriting systems, and the Euler characteristic
• On problems related to growth, entropy, and spectrum in group theory

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