On just-infinite periodic locally soluble groups

Pavel Shumyatsky; Rostislav Grigorchuk

arxiv: 1611.08739 · v2 · pith:33WIE2ZNnew · submitted 2016-11-26 · 🧮 math.GR · math.OA· math.RA

On just-infinite periodic locally soluble groups

Rostislav Grigorchuk , Pavel Shumyatsky This is my paper

classification 🧮 math.GR math.OAmath.RA

keywords groupsfamilyinfinitejustlocallyperiodicsolublealgebra

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We construct an uncountable family of periodic locally soluble groups which are hereditarily just infinite. We also show that the associated full C*-algebra C*(G) is just infinite for many groups $G$ in this family.

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On just-infinite periodic locally soluble groups

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