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

• Autores: Bruno Zimmermann
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 217, Nº 2, 2004, págs. 387-396
• Idioma: inglés
• DOI: 10.2140/pjm.2004.217.387
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• Resumen

  • 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.