Israel Journal of Mathematics

, Volume 85, Issue 1, pp 11–18

Some remarks on profinite HNN extensions


DOI: 10.1007/BF02758634

Cite this article as:
Chatzidakis, Z.M. Israel J. Math. (1994) 85: 11. doi:10.1007/BF02758634


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].

Copyright information

© Hebrew University 1994

Authors and Affiliations

  1. 1.UFR de MathematiquesUniversité de Paris 7Paris Cedex 05France