Faithful Group Actions on Rooted Trees Induced by Actions of Quotients

DOI10.1080/00914030701410237zbMath1187.20021OpenAlexW2061932911MaRDI QIDQ5432614

Andriy Oliynyk, Yaroslav Lavrenyuk, Volodymyr Mazorchuk, V. I. Sushchans'kyi

Publication date: 17 December 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00914030701410237

zbMATH Keywords

braid groupsamalgamated free productsfinite state automataautomorphisms of rooted trees

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Related Items

Self-similar monoids related to Hahn groups, Amalgamated free product in terms of automata constructions, Free products of cyclic groups in groups of infinite unitriangular matrices, Generation of amalgamated free products of cyclic groups by finite automata over minimal alphabet, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Braids, Links, and Mapping Class Groups. (AM-82)
• The Generation of GL(n, Z) by Finite State Automata
• The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group