A Proof Of The Hilbert-Smith Conjecture
by
Louis F. McAuley
Dedicated to the memory of Deane Montgomery
Abstract
The Hilbert-Smith Conjecture states that if G is a locally compact group whi*
*ch acts
effectively on a compact connected manifold as a topological transformation gro*
*up, then G
is a Lie group. A rather straightforward proof of this conjecture is given. The*
* motivation is
work of Cernavskii ("Finite-to-one mappings of manifolds", Trans. of Math. Sk. *
*65 (107),
1964.)