Angel "Java" Lopez en Blog

Publicado el 14 de Febrero, 2013, 14:03

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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