Open Problem Garden - Hilbert-Smith conjecture - Comments

Open Problem Garden - Hilbert-Smith conjecture - Comments http://openproblemgarden.org/op/hilbert_smith_conjecture Comments for "Hilbert-Smith conjecture" en Hilbert-Smith conjecture http://openproblemgarden.org/op/hilbert_smith_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/david_hilbert">David Hilbert</a>; <a href="/category/paul_a_smith">Paul A. Smith</a>   </td> <td align=right> Subject: <a href="/topology">Topology</a>   </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>   Let <img class="teximage" src="/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png" alt="$ G $" /> be a locally compact topological group. If <img class="teximage" src="/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png" alt="$ G $" /> has a continuous faithful group action on an <img class="teximage" src="/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png" alt="$ n $" />-manifold, then <img class="teximage" src="/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png" alt="$ G $" /> is a <a href="http://en.wikipedia.org/wiki/Lie group">Lie group</a>. </div> </tr></td> </table> </td> </tr> </table> David Hilbert Paul A. Smith Topology http://openproblemgarden.org/op/hilbert_smith_conjecture#comment Sun, 06 Feb 2011 19:32:18 +0100 porton 37297 at http://openproblemgarden.org