User john mckay - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T11:46:58Z http://mathoverflow.net/feeds/user/16325 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/117668/new-grand-projects-in-contemporary-math/118197#118197 Answer by John McKay for New grand projects in contemporary math John McKay 2013-01-06T12:21:55Z 2013-01-06T12:21:55Z <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#108276 Answer by John McKay for Hirzebruch's motivation of the Todd class John McKay 2012-09-27T19:10:46Z 2012-09-27T19:10:46Z <p>Are the Todd generator and Planck's law related?</p> http://mathoverflow.net/questions/93215/the-prime-divisors-of-a-simple-group/93336#93336 Answer by John McKay for The prime divisors of a simple group John McKay 2012-04-06T16:32:01Z 2012-04-06T16:32:01Z <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#90077 Answer by John McKay for Non-isomorphic groups with the same oriented Cayley graph John McKay 2012-03-02T21:48:32Z 2012-03-02T21:48:32Z <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-functions The signs of q-coefficients of completely replicable functions John McKay 2011-12-27T19:10:41Z 2011-12-27T19:10:41Z <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#80972 Answer by John McKay for Being a subgroup: proof by character theory John McKay 2011-11-15T10:52:14Z 2011-11-15T10:52:14Z <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-tab Can one characterize a permutation character from properties of the character table? John McKay 2011-11-15T10:27:52Z 2011-11-15T10:27:52Z <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-ga Connes & Marcolli: Q-lattices generalize Conway's "Understanding groups like $\Gamma_0(N)$" John McKay 2011-07-10T14:41:24Z 2011-07-10T14:41:24Z <p>Has anyone generalized Conway's description of Hecke operators on lattices to the</p> <p>Q-lattices of Connes &amp; 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#69861 Answer by John McKay for Reference sought for Conways observation on stable matchings. John McKay 2011-07-09T09:23:03Z 2011-07-09T09:23:03Z <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>