# Angel "Java" Lopez en Blog

### Publicado el 14 de Febrero, 2013, 14:03

 Este tema debe ser mi preferido desde hace algo más de tres décadas. ¿Qué puedo decir? Sólo invitarlos a lo que puede ser un viaje de ida, de toda una vida: From Milne's book http://www.jmilne.org/math/CourseNotes/GT.pdfcited in Chapter 1  The axioms for a group are short and natural. . . .Yet somehow hidden behind these axioms is the monster simple group, a huge and extraordinary mathematical object, which appears to rely on numerous bizarre coincidences to exist. The axioms for groups give no obvious hint that anything like this exists. Richard Borcherds, in Mathematicians 2009. Exceptional objecthttp://en.wikipedia.org/wiki/Exceptional_object Rubik's Cube Can Be Solved in Less Than 20 Moveshttp://www.huliq.com/1/813-rubiks-cube-can-be-solved-less-20-moves El número de dios es 20http://gaussianos.com/el-numero-de-dios-es-20/ The Brauer Groupoidhttp://sbseminar.wordpress.com/2010/08/11/the-brauer-groupoid/ 'God couldn't do faster': Rubik's cube mystery solvedhttp://www.newscientist.com/article/dn19301-rubiks-cube-mystery-solved-after-15-years.html It has taken 15 years to get to this point, but it is now clear that every possible scrambled arrangement of the Rubik's cube can be solved in a maximum of 20 moves God's Number is 20http://www.cube20.org/ E8 (mathematics)http://en.wikipedia.org/wiki/E8_(mathematics) Kim on Fundamental Groups in Number Theoryhttp://golem.ph.utexas.edu/category/2008/03/kim_on_fundamental_groups_in_n.html Fundamental groups and Diophantine geometryhttp://www.ucl.ac.uk/~ucahmki/leeds.pdf Cayley graphs and the geometry of groupshttp://terrytao.wordpress.com/2010/07/10/cayley-graphs-and-the-geometry-of-groups/ Generalized moonshine I: Genus zero functionshttp://sbseminar.wordpress.com/2009/01/08/generalized-moonshine-i-genus-zero-functions/ Lattices and their invariantshttp://sbseminar.wordpress.com/2010/05/14/lattices-and-their-invariants/ Suzuki groups as expandershttp://terrytao.wordpress.com/2010/05/06/suzuki-groups-as-expanders/ Classification of finite simple groupshttp://en.wikipedia.org/wiki/Classification_of_finite_simple_groups Semidirect producthttp://en.wikipedia.org/wiki/Semidirect_product Group extensionhttp://en.wikipedia.org/wiki/Group_extension Approximate subgroups of linear groupshttp://terrytao.wordpress.com/2010/05/12/approximate-subgroups-of-linear-subgroups/ This Week"s Finds in Mathematical Physics (Week 298)http://golem.ph.utexas.edu/category/2010/05/this_weeks_finds_in_mathematic_59.html In "week298" of This Week"s Finds, learn about finite subgroups of the unit quaternions Course Notes - J.S. Milnehttp://www.jmilne.org/math/CourseNotes/ An Invitation to Higher Gauge Theory (Again)http://golem.ph.utexas.edu/category/2010/03/an_invitation_to_higher_gauge_1.html The Automorphism Group of a Root Systemhttp://unapologetic.wordpress.com/2010/03/11/the-automorphism-group-of-a-root-system/ Coxeter Graphs and Dynkin Diagramshttp://unapologetic.wordpress.com/2010/02/18/coxeter-graphs-and-dynkin-diagrams/ The Classification of (Possible) Root Systemshttp://unapologetic.wordpress.com/2010/02/19/the-classification-of-possible-root-systems/ Proving the Classification Theorem Vhttp://unapologetic.wordpress.com/2010/02/26/proving-the-classification-theorem-v/ A proof of Gromov"s theoremhttp://terrytao.wordpress.com/2010/02/18/a-proof-of-gromovs-theorem/ Weyl Chambershttp://unapologetic.wordpress.com/2010/02/03/weyl-chambers-2/ F and the Shibbolethhttp://golem.ph.utexas.edu/category/2010/01/f_and_the_shibboleth.html Mis Enlaceshttp://delicious.com/ajlopez/grouptheory Nos leemos! Angel "Java" Lopezhttp://www.ajlopez.comhttp://twitter.com/ajlopez