Groups of given intermediate word growth.
From MaRDI portal
Publication:486830
DOI10.5802/aif.2902zbMath1317.20043arXiv1110.3650OpenAlexW3123037646MaRDI QIDQ486830
Laurent Bartholdi, A. G. Erschler
Publication date: 16 January 2015
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3650
wreath productsfinitely generated groupsgroups acting on treesgrowth functionsgrowth of groupsGrigorchuk groupsself-similar groupsgroups of intermediate growth
Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Asymptotic properties of groups (20F69) Groups acting on trees (20E08)
Related Items
Measure equivalence classification of transvection-free right-angled Artin groups, Numerical upper bounds on growth of automaton groups, To Infinity and Beyond, Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth, Gaps and approximations in the space of growth functions, Asymptotic behaviors of random walks on countable groups, Palindromic subshifts and simple periodic groups of intermediate growth, Groups of oscillating intermediate growth., Unnamed Item, On growth of random groups of intermediate growth., Speed of random walks, isoperimetry and compression of finitely generated groups, Growth behaviors in the range \(e^{r^\alpha}\)., Polynomial control on weighted stability bounds and inversion norms of localized matrices on simple graphs, On growth of generalized Grigorchuk's overgroups, Words in linear groups, random walks, automata and P-recursiveness, Growth of permutational extensions., On the Gap Conjecture concerning group growth, Amenable groups without finitely presented amenable covers, On the growth of algebras, semigroups, and hereditary languages, Growth of periodic Grigorchuk groups, Book Review: How groups grow, Norm-controlled inversion in weighted convolution algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Growth behaviors in the range \(e^{r^\alpha}\).
- Amenability and non-uniform growth of some directed automorphism groups of a rooted tree
- Finitely presented wreath products and double coset decompositions.
- On degrees of growth of finitely generated groups.
- On a 2-generated infinite 3-group: The presentation problem
- The growth functions of finitely generated semigroups
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- An example of an indexed language of intermediate growth
- Endomorphic presentations of branch groups.
- On a lower bound for the growth function of the Grigorchuk group
- Growth of permutational extensions.
- Critical constants for recurrence of random walks on \(G\)-spaces.
- The Gelfand-Kirillov dimension of a tensor product
- Groups of oscillating intermediate growth.
- Poisson-Furstenberg boundary and growth of groups
- Boundary behavior for groups of subexponential growth.
- ON THE WORD AND PERIOD GROWTH OF SOME GROUPS OF TREE AUTOMORPHISMS
- IMAGES OF GOLOD-SHAFAREVICH ALGEBRAS WITH SMALL GROWTH
- Extensions of Jentzsch's Theorem
- DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
- ON GROWTH OF GRIGORCHUK GROUPS
- LOWER BOUNDS ON THE GROWTH OF A GROUP ACTING ON THE BINARY ROOTED TREE