On generation problems in generalised Wilson type groups

2014/12/25 by Matteo Vannacci, Vannacci, Matteo · 1 citation
Computer Science · Mathematics · #20E18 #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Limits and Structures in Graph Theory #math.GR #msc:20E18 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1412.7809

This paper has been withdrawn by the author. To improve the exposition the results appear in two new separate papers by the author: "On Hereditarily Just Infinite Groups obtained via iterated wreath products" and "Finite Generation on Iterated Wreath Products in Product Action"

openalex publication_date 2014/12/25 · arxiv created 2015/05/30 · arxiv updated 2015/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a family of hereditarily just infinite profinite groups obtained by iterated wreath products introduced by J. Wilson in 2010. We find explicit generators for this family in a number of cases using combinatorial methods. We then discuss determination of the lower rank for this family. Finally we examine whether the groups in this family admit a finite profinite presentation.

Cited by

• Finite generation of iterated wreath products in product action

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