Some remarks on profinite HNN extensions
- Cite this article as:
- Chatzidakis, Z.M. Israel J. Math. (1994) 85: 11. doi:10.1007/BF02758634
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We extend a construction of Higman, Neumann and Neumann [LS, IV.3.1] and show that every profinite groupG with only countably many open subgroups embeds in a 2-generated profinite groupE in which all torsion elements are conjugate to elements ofG; ifG is pro-p,E can be chosen pro-p. This answers a question of Wilson (oral communication) and generalises a result of Lubotzky and Wilson [LW].