The Automaton Realization of Iterated Wreath Products of Cyclic Groups

DOI10.1080/00927872.2012.738749zbMath1297.20033OpenAlexW1987881475MaRDI QIDQ5412038

Adam Woryna

Publication date: 25 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.738749

zbMATH Keywords

profinite groupsiterated wreath productsautomorphisms of rooted treesgroups generated by automataautomata over changing alphabets

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (1)

The characterization by automata of certain profinite groups.

Cites Work

• Finite generation of iterated wreath products.
• The concept of duality for automata over a changing alphabet and generation of a free group by such automata
• A Wilson group of non-uniformly exponential growth.
• A 2-generated just-infinite profinite group which is not positively generated.
• The finite images of finitely generated groups
• The Rank and Generating Set for Iterated Wreath Products of Cyclic Groups
• ON GENERATION OF WREATH PRODUCTS OF CYCLIC GROUPS BY TWO STATE TIME VARYING MEALY AUTOMATA

This page was built for publication: The Automaton Realization of Iterated Wreath Products of Cyclic Groups