A group of non-uniform exponential growth locally isomorphic to $IMG(z^2+i)$
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Publication:3402205
DOI10.1090/S0002-9947-09-04825-9zbMath1275.20049MaRDI QIDQ3402205
Publication date: 2 February 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
finitely generated groupsCayley graphsgrowth functionsgrowth of groupsmarked groupsself-similar groupsspaces of groupsgroups of non-uniformly exponential growth
Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Asymptotic properties of groups (20F69) Groups acting on trees (20E08) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)
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- Automatically presented groups.
- Boundary behavior for groups of subexponential growth.
- A minimal Cantor set in the space of 3-generated groups.
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