Self-similar groups, or automata groups, consist of certain automorphisms of the infinite complete rooted binary tree. We describe them using several different concepts: computers are designed, portraits are drawn, and self-similar rules are written. Some well-known self-similar groups such as ...
A short introduction to self-similar groups 127 A good way to ensure the property that products of G stay in G is to take a set of automorphisms, say a and b, their inverses (which in this case are the same), and let G be the set of all finite products of these automorphisms....
FROM SELF-SIMILAR STRUCTURES TO SELF-SIMILAR GROUPSDANIEL J. KELLEHER, BENJAMIN A. STEINHURST, AND CHUEN-MING M. WONGAbstract. We explore the relationship between limit spaces of contracting self-similargroups and self-similar structures. We give the condition on a contracting group such thatits ...
Self-similar groups of type FP_{n} 来自 arXiv.org 喜欢 0 阅读量: 28 作者:DH Kochloukova,SN Sidki 摘要: We introduce the notion of virtual endomorphisms of Lie algebras and use it as an approach for constructing self-similarity of Lie algebras. This is done in particular for a class ...
We construct self-similar measures on several classes of self-similar groups, including the Grigorchuk group of intermediate growth. 展开全部 机器翻译 AI理解论文&经典十问 挑战十问 参考文献 被引用 社区问答 参考文献 发布时间 · 被引用数 · 默认排序 被引用 发布时间 · 被引用数 · 默认排序 ...
Saltan, M. & Demir, B. ( 2013 ). Self-similar groups in the sense of an iterated function system and their properties. Jouranl of Mathematical Analysis and Applications , 408 , 694–704.Mustafa Saltan and Bunyamin Demir, Self-similar groups in the sense of an iterated function system and...
We construct new classes of self-similar groups:S-arithmetic groups, affine groups and metabelian groups. Most of the soluble ones are finitely presented and of typeFPn\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\...
Intransitive self-similar groups 来自 国家科技图书文献中心 喜欢 0 阅读量: 7 作者: Dantas, Alex C.Santos, Tulio M. G.Sidki, Said N. 摘要: A group is said to be self-similar provided it admits a faithful state-closed representation on some regular m-tree and the group is said to be...
arXiv:0809.0323v2[math.GR]5Sep2008ARITHMETICASPECTSOFSELF-SIMILARGROUPSMICHAELKAPOVICHLetΓbeagroup.AvirtualendomorphismofΓisahom..
arXiv:1105.4036v4 [math.PR] 31 Oct 2012Abelian Sandpile Model on Randomly Rooted Graphs andSelf-Similar GroupsM. Matter∗† and T. Nagnibeda ∗‡November 1, 2012AbstractAbelian sandpile model is an archetypical model of the physical phenomenon of self-organizedcriticality. It is also well...