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At some point I'll put in a detailed list of all the finite subgroups of SO_4 up to conjugacy. For which ones the conjecture is known, and for which it is not. The exposition in Thurston's book is not very efficient. It's easier to describe these groups in terms of binary icosahedral groups, binary dihedral groups x abelian groups they commute with, etc... — Preceding unsigned comment added by 67.171.229.101 (talk) 22:06, 23 January 2005 (UTC)
Shouldn't this be called the Spherical space form conjecture? (Or perhaps "problem".) I found one paper by Hatcher which uses "Lin. Conj." in the sense you mean, but mostly people use it to refer to some question in algebraic geometry. (And it is related to the Jacobian conjecture, as well. On the other hand, there are many, many papers (found using google) which refer to the Spherical space form problem/question/conjecture. If I have a chance, I'll move this tonight. Sam nead 23:27, 5 September 2006 (UTC)