We give homological conditions on groups such that whenever the conditions hold for a group G, there is a bound on the orders of finite subgroups of G. This extends a result of P. H. Kropholler. We also suggest a weaker condition under which the same conclusion might hold.
@article{urn:eudml:doc:41427, title = {Bounding the orders of finite subgroups.}, journal = {Publicacions Matem\`atiques}, volume = {45}, year = {2001}, pages = {259-264}, mrnumber = {MR1829588}, zbl = {0999.20044}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41427} }
Leary, Ian J.; Nucinkis, Brita E. A. Bounding the orders of finite subgroups.. Publicacions Matemàtiques, Tome 45 (2001) pp. 259-264. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41427/