ON FINITE GENERATION OF SELF-SIMILAR GROUPS OF FINITE TYPE

DOI10.1142/S0218196712500786zbMath1280.20030arXiv1409.0125MaRDI QIDQ4916246

Igor O. Samoilovych, Ievgen V. Bondarenko

Publication date: 22 April 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0125

zbMATH Keywords

profinite groupsbranch groupsself-similar groupstopologically finitely generated groupsautomorphisms of regular rooted trees

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (5)

Unnamed Item ⋮ Tree languages and branched groups ⋮ On commutator subgroups of Sylow 2-subgroups of the alternating group, and the commutator width in wreath products ⋮ FINITELY CONSTRAINED GROUPS OF MAXIMAL HAUSDORFF DIMENSION ⋮ A language hierarchy and kitchens-type theorem for self-similar groups

Uses Software

• GAP

Cites Work

• Finite generation of iterated wreath products.
• Hausdorff dimension in a family of self-similar groups.
• Pattern closure of groups of tree automorphisms
• An Introduction to Symbolic Dynamics and Coding

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