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For any finite group not of prime power order, we construct a group that is virtually of type , contains infinitely many conjugacy classes of subgroups isomorphic to , and contains only finitely many conjugacy classes of other finite subgroups.
Leary, Ian J 1
@article{GT_2005_9_4_a4, author = {Leary, Ian J}, title = {On finite subgroups of groups of type {VF}}, journal = {Geometry & topology}, pages = {1953--1976}, publisher = {mathdoc}, volume = {9}, number = {4}, year = {2005}, doi = {10.2140/gt.2005.9.1953}, url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2005.9.1953/} }
Leary, Ian J. On finite subgroups of groups of type VF. Geometry & topology, Tome 9 (2005) no. 4, pp. 1953-1976. doi : 10.2140/gt.2005.9.1953. http://geodesic.mathdoc.fr/articles/10.2140/gt.2005.9.1953/
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