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arXiv · 1412.7809

On generation problems in generalised Wilson type groups

Matteo Vannacci
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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.

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Matteo Vannacci. 2014-12-25. On generation problems in generalised Wilson type groups. https://arxiv.org/abs/1412.7809

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