Classifying spaces with virtually cyclic stabilisers for certain infinite cyclic extensions |
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Authors: | Martin Fluch |
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Institution: | School of Mathematics, University of Southampton, Southampton, SO17 1BJ, United Kingdom |
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Abstract: | Let G?B?Z be an infinite cyclic extension of a group B where the action of Z on the set of conjugacy classes of non-trivial elements of B is free. This class of groups includes certain strictly descending HNN-extensions with abelian or free base groups, certain wreath products by Z and the soluble Baumslag-Solitar groups BS(1,m) with |m|≥2. We construct a model for , the classifying space of G for the family of virtually cyclic subgroups of G, and give bounds for the minimal dimension of . Finally we determine the geometric dimension when G is a soluble Baumslag-Solitar group. |
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Keywords: | 20F65 55R35 |
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