2013•OpenGrey (Institut de l'Information Scientifique et Technique)Requires access
Hereditarily just infinite profinite groups that are not virtually pro-p
Sarah E. A. P. Middleton
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Abstract
A profinite group G is just infinite if it is infinite and every non- trivial closed normal subgroup of G is open, and hereditarily just infinite if every open subgroup is just infinite. Hereditarily just infinite profinite groups that are not virtually pro-p were first described by J. S. Wilson, in his recent paper 'Large hereditarily just infinite groups', in 2010. These profinite groups are inverse limits of finite groups that arc iterated wreath products. The iterated wreath products are constructed from finite non-abelian simple groups, using two types of transitive actions; one of which is specified and the other is left unspecified.