http://www.openproblemgarden.org/op/the_additive_basis_conjecture Comments for "The additive basis conjecture" en http://www.openproblemgarden.org/op/the_additive_basis_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/jaeger">Jaeger</a>; <a href="/category/linial">Linial</a>; <a href="/category/payan">Payan</a>; <a href="/category/tarsi">Tarsi</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/combinatorics">Combinatorics</a> » <a href="/category/matrices">Matrices</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp; For every prime <img class="teximage" src="/files/tex/928cd9d544fdea62f88a627aaee28c416c4366c0.png" alt="$ p $" />, there is a constant <img class="teximage" src="/files/tex/996da72e7b0b6591ec8cc40dcbe46964d764e211.png" alt="$ c(p) $" /> (possibly <img class="teximage" src="/files/tex/b1a6c0fbe5cae8582d2ef00c5f0f5158c9d9d4be.png" alt="$ c(p)=p $" />) so that the union (as multisets) of any <img class="teximage" src="/files/tex/996da72e7b0b6591ec8cc40dcbe46964d764e211.png" alt="$ c(p) $" /> bases of the vector space <img class="teximage" src="/files/tex/ea205f9e138abfc9a2c6a35332ecc6694ebe6419.png" alt="$ ({\mathbb Z}_p)^n $" /> contains an additive basis. </div> </tr></td> </table> </td> </tr> </table> Jaeger, Francois Linial, Nathan Payan, Charles Tarsi, Michael additive basis matrix Combinatorics Matrices http://www.openproblemgarden.org/op/the_additive_basis_conjecture#comment Thu, 08 Mar 2007 13:48:25 +0100 mdevos 150 at http://www.openproblemgarden.org