Resumen de On the classification of finite groups acting on homology 3-spheres

Bruno Zimmermann

• In previous work we showed that the only .nite nonabelian simple group acting by di.eomorphisms on a homology 3-sphere is the alternating or dodecahedral group A5. Here we characterize .nite nonsolvable groups that act on a homology 3- sphere preserving orientation. We .nd exactly the .nite nonsolvable groups that act orthogonally on the 3-sphere, plus two families of groups for which we do not know at present if they really can act on a homology 3-sphere.