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arXiv · 1106.4423

On a construction of A. Lucchini

Colin D. Reid
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Abstract

We show that the group constructed in the 2004 paper 'A 2-generated just-infinite profinite group which is not positively finitely generated' by A. Lucchini is in fact hereditarily just infinite and contains every countably based profinite group as a closed subgroup. Lucchini's paper predates some related work of J. Wilson.

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Colin D. Reid. 2011-06-22. On a construction of A. Lucchini. https://arxiv.org/abs/1106.4423

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