Some H1F-groups with unbounded torsion and a conjecture of Kropholler and Mislin

Giovanni Gandini; Brita E. A. Nucinkis

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arXiv · 1206.2631

Some H1F-groups with unbounded torsion and a conjecture of Kropholler and Mislin

Giovanni Gandini·Brita E. A. Nucinkis

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Abstract

Kropholler and Mislin conjectured that groups acting admissibly on a finite-dimensional G-CW-complex with finite stabilisers admit a finite-dimensional model for E_FG, the classifying space for proper actions. This conjecture is known to hold for groups with bounded torsion. In this note we consider a large class of groups U containing the above and many known examples with unbounded torsion. We show that the conjecture holds for a large subclass of U.

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Giovanni Gandini, Brita E. A. Nucinkis. 2012-06-19. Some H1F-groups with unbounded torsion and a conjecture of Kropholler and Mislin. https://arxiv.org/abs/1206.2631

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