User john mckay - MathOverflowmost recent 30 from http://mathoverflow.net2013-06-19T11:46:58Zhttp://mathoverflow.net/feeds/user/16325http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/117668/new-grand-projects-in-contemporary-math/118197#118197Answer by John McKay for New grand projects in contemporary mathJohn McKay2013-01-06T12:21:55Z2013-01-06T12:21:55Z<p>The CFSG (classification of finite simple groups) yields L: The finite groups of Lie type,
and S: the non-Lie groups = 26 sporadic simples. We do not know how natural this taxonomy is.</p>
<p>One approach is that of (categorical) 2-groups. Another is that of BIRS Banff 12frg158 which
is an attempt to tame the sporadics using integrable systems, symplectic geometry, characteristic classes, and mathematical physics. This may lead to flourishing of new interconnections between many fields.</p>
http://mathoverflow.net/questions/60478/hirzebruchs-motivation-of-the-todd-class/108276#108276Answer by John McKay for Hirzebruch's motivation of the Todd classJohn McKay2012-09-27T19:10:46Z2012-09-27T19:10:46Z<p>Are the Todd generator and Planck's law related?</p>
http://mathoverflow.net/questions/93215/the-prime-divisors-of-a-simple-group/93336#93336Answer by John McKay for The prime divisors of a simple groupJohn McKay2012-04-06T16:32:01Z2012-04-06T16:32:01Z<p>A_8 has the same order as the non-isomorphic PSL(4,2).</p>
http://mathoverflow.net/questions/89322/non-isomorphic-groups-with-the-same-oriented-cayley-graph/90077#90077Answer by John McKay for Non-isomorphic groups with the same oriented Cayley graphJohn McKay2012-03-02T21:48:32Z2012-03-02T21:48:32Z<p>Once upon a time nodes of a Cayley graph were elements of the group. The more
general graph was a Schreier (coset) graph. Why not now?</p>
http://mathoverflow.net/questions/84403/the-signs-of-q-coefficients-of-completely-replicable-functionsThe signs of q-coefficients of completely replicable functionsJohn McKay2011-12-27T19:10:41Z2011-12-27T19:10:41Z
<p>McKay, Strauss, Communications in Algebra, 18, pp.253-278. (1990) displays data
suggesting that, replacing the q-coefficients by their signs in {0,+1,-1},
produces an ultimately periodic series with period dividing the modular level.
Can the periodic sign sequence be nicely described? A similar table is in Ford,
McKay, Norton Communications in Algebra 22, pp.5175 - 5193 (1994).</p>
http://mathoverflow.net/questions/80127/being-a-subgroup-proof-by-character-theory/80972#80972Answer by John McKay for Being a subgroup: proof by character theoryJohn McKay2011-11-15T10:52:14Z2011-11-15T10:52:14Z<p>Let me re-phrase my remark.</p>
<p>Give sufficient conditions for a character to be a permutation character. </p>
http://mathoverflow.net/questions/80969/can-one-characterize-a-permutation-character-from-properties-of-the-character-tabCan one characterize a permutation character from properties of the character table?John McKay2011-11-15T10:27:52Z2011-11-15T10:27:52Z
<p>Sufficient conditions would establish the existence of a subgroup
stabilizing a point in the permutation representation. </p>
http://mathoverflow.net/questions/69938/connes-marcolli-q-lattices-generalize-conways-understanding-groups-like-gaConnes & Marcolli: Q-lattices generalize Conway's "Understanding groups like $\Gamma_0(N)$"John McKay2011-07-10T14:41:24Z2011-07-10T14:41:24Z
<p>Has anyone generalized Conway's description of Hecke operators on lattices to the</p>
<p>Q-lattices of Connes & Marcolli: alainconnes.org/docs/Qlattices.pdf ? Light</p>
<p>may well be shone on moonshine thus.</p>
http://mathoverflow.net/questions/69832/reference-sought-for-conways-observation-on-stable-matchings/69861#69861Answer by John McKay for Reference sought for Conways observation on stable matchings.John McKay2011-07-09T09:23:03Z2011-07-09T09:23:03Z<p><strong>strong text</strong></p>
<p>Conway discovered it when visiting Montreal contemporaneously to Knuth's
lectures on the marriage problem. These lectures are in print, published by Centre de
Recherche Math of Universite de Montreal.</p>