Purely exponential growth of cusp-uniform actions
نویسندگان
چکیده
منابع مشابه
Uniform Growth in Groups of Exponential Growth
This is an exposition of examples and classes of finitely-generated groups which have uniform exponential growth. The main examples are non-Abelian free groups, semi-direct products of free Abelian groups with automorphisms having an eigenvalue of modulus distinct from 1, and Golod–Shafarevich infinite finitely-generated p-groups. The classes include groups which virtually have non-Abelian free...
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Remark 1.2. Uniform exponential growth for solvable non-virtually nilpotent groups was proved independently by Osin and byWilson. The existence of a uniform constant C(d) as in Theorem 1.1 for solvable groups is very striking since it implies the well known Lehmer conjecture concerning the Mahler measure of algebraic integers. However for virtually solvable non-virtually nilpotent groups we onl...
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Due to works by Bestvina-Mess, Swarup and Bowditch, we now have complete knowledge of how splittings of a word-hyperbolic group G as a graph of groups with finite or two-ended edge groups relate to the cut point structure of its boundary. It is central in the theory that ∂G is a locally connected continuum (a Peano space). Motivated by the structure of tight circle packings, we propose to gener...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2017
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2017.37