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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.pdf cited 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 object http://en.wikipedia.org/wiki/Exceptional_object Rubik's Cube Can Be Solved in Less Than 20 Moves http://www.huliq.com/1/813-rubiks-cube-can-be-solved-less-20-moves
El número de dios es 20 http://gaussianos.com/el-numero-de-dios-es-20/
The Brauer Groupoid http://sbseminar.wordpress.com/2010/08/11/the-brauer-groupoid/
'God couldn't do faster': Rubik's cube mystery solved http://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 20 http://www.cube20.org/
E8 (mathematics) http://en.wikipedia.org/wiki/E8_(mathematics)
Kim on Fundamental Groups in Number Theory http://golem.ph.utexas.edu/category/2008/03/kim_on_fundamental_groups_in_n.html
Fundamental groups and Diophantine geometry http://www.ucl.ac.uk/~ucahmki/leeds.pdf
Cayley graphs and the geometry of groups http://terrytao.wordpress.com/2010/07/10/cayley-graphs-and-the-geometry-of-groups/
Generalized moonshine I: Genus zero functions http://sbseminar.wordpress.com/2009/01/08/generalized-moonshine-i-genus-zero-functions/
Lattices and their invariants http://sbseminar.wordpress.com/2010/05/14/lattices-and-their-invariants/
Suzuki groups as expanders http://terrytao.wordpress.com/2010/05/06/suzuki-groups-as-expanders/
Classification of finite simple groups http://en.wikipedia.org/wiki/Classification_of_finite_simple_groups
Semidirect product http://en.wikipedia.org/wiki/Semidirect_product
Group extension http://en.wikipedia.org/wiki/Group_extension
Approximate subgroups of linear groups http://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. Milne http://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 System http://unapologetic.wordpress.com/2010/03/11/the-automorphism-group-of-a-root-system/
Coxeter Graphs and Dynkin Diagrams http://unapologetic.wordpress.com/2010/02/18/coxeter-graphs-and-dynkin-diagrams/ The Classification of (Possible) Root Systems http://unapologetic.wordpress.com/2010/02/19/the-classification-of-possible-root-systems/
Proving the Classification Theorem V http://unapologetic.wordpress.com/2010/02/26/proving-the-classification-theorem-v/
A proof of Gromov"s theorem http://terrytao.wordpress.com/2010/02/18/a-proof-of-gromovs-theorem/
Weyl Chambers http://unapologetic.wordpress.com/2010/02/03/weyl-chambers-2/ F and the Shibboleth http://golem.ph.utexas.edu/category/2010/01/f_and_the_shibboleth.html
Mis Enlaces http://delicious.com/ajlopez/grouptheory
Nos leemos!
Angel "Java" Lopez http://www.ajlopez.com http://twitter.com/ajlopez
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