On a construction of A. Lucchini
Group Theory
2011-06-23 v1
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.
Cite
@article{arxiv.1106.4423,
title = {On a construction of A. Lucchini},
author = {Colin D. Reid},
journal= {arXiv preprint arXiv:1106.4423},
year = {2011}
}
Comments
2 pages