2013Proceedings of the American Mathematical SocietyOpen access

On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups

Martin Fluch, Brita E. A. Nucinkis

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Abstract

We show that every elementary amenable group that has a bound on the orders of its finite subgroups admits a finite dimensional model for ${\underline {\underline E}}G$, the classifying space for actions with virtually cyclic isotropy.

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We show that every elementary amenable group that has a bound on the orders of its finite subgroups admits a finite dimensional model for ${\underline {\underline E}}G$, the classifying space for actions with virtually cyclic isotropy.

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Available abstract

We show that every elementary amenable group that has a bound on the orders of its finite subgroups admits a finite dimensional model for ${\underline {\underline E}}G$, the classifying space for actions with virtually cyclic isotropy.

Key concepts: Space (punctuation), Mathematics, Isotropy, Combinatorics, Pure mathematics, Group (periodic table), Locally finite group, Physics

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