Matteo Vannacci
Abstract
Abstract We study a generalisation of the family of non-(virtually pro-p) hereditarily just infinite profinite groups introduced by J. S. Wilson in 2010. We prove that this family contains groups of finite lower rank. We also show that many groups in this family are not topologically finitely presentable.
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Abstract We study a generalisation of the family of non-(virtually pro-p) hereditarily just infinite profinite groups introduced by J. S. Wilson in 2010. We prove that this family contains groups of finite lower rank. We also show that many groups in this family are not topologically finitely presentable.
Key concepts: Profinite group, Mathematics, Iterated function, Finitely-generated abelian group, Wreath product, Rank (graph theory), Pure mathematics, Group (periodic table)