On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups
Martin Fluch, Brita E. A. Nucinkis
Abstract
Open-access reader
Martin Fluch, Brita E. A. Nucinkis
Abstract
Open-access reader
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.
OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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