Counterexamples Involving Growth Series and Euler Characteristics

DOI10.2307/2046028zbMath0637.20015OpenAlexW4251351569WikidataQ124987020 ScholiaQ124987020MaRDI QIDQ3778155

Walter R. Parry

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046028

zbMATH Keywords

generating functionsEuler characteristicgrowth functionfinite cohomological dimension

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05)

Related Items (7)

Growth functions on Fuchsian groups and the Euler characteristic ⋮ The volume of hyperbolic Coxeter polytopes of even dimension ⋮ Growth functions, rewriting systems, and the Euler characteristic ⋮ Growth series for the commutator subgroup ⋮ On problems related to growth, entropy, and spectrum in group theory ⋮ Growth series for the group \(\langle x,y\mid x^{-1}yx=y^ l\rangle\) ⋮ Growth functions of surface groups

Cites Work

• Unnamed Item
• Growth functions and Euler series
• The combinatorial structure of cocompact discrete hyperbolic groups
• Growth functions on Fuchsian groups and the Euler characteristic
• Growth series of finite extensions of \(Z^ n \)are rational

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