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/