Strictly ascending HNN extensions in soluble groups |
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Authors: | J O Button |
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Institution: | 1. Selwyn College, University of Cambridge, Cambridge, CB3 9DQ, UK
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Abstract: | We show that there exist finitely generated soluble groups which are not LERF but which do not contain strictly ascending HNN extensions of a cyclic group. This solves Problem 16.2 in the Kourovka notebook. We further show that there is a finitely presented soluble group which is not LERF but which does not contain a strictly ascending HNN extension of a polycyclic group. |
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