# 28 de Agosto, 2012

### Publicado el 28 de Agosto, 2012, 14:02

 Siguiente Post Ya escribí varios posts sobre teoría de grupos (ver por ejemplo Simetrías del Cuadrado, Teoría de Galois, Motivaciones para Teoría de Grupos). Venga hoy una primera colección de enlaces sobre este tema que me interesa desde hace más de treinta años. http://en.wikipedia.org/wiki/Group_theory In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have strongly influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced tremendous advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, can be modelled by symmetry groups. Thus group theory and the closely related representation theory have many applications in physics and chemistry. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 1980, that culminated in a complete classification of finite simple groups. Algebra Representationshttp://unapologetic.wordpress.com/2008/10/24/algebra-representations/ Representation Theory IIhttp://hilbertthm90.wordpress.com/2009/07/06/representation-theory-ii/ Group Representationshttp://unapologetic.wordpress.com/2008/10/23/group-representations/ Lie groups, Lie algebras, and representationshttp://unapologetic.wordpress.com/2007/03/20/lie-groups-lie-algebras-and-representations/ Lie groups in naturehttp://drmathochist.wordpress.com/2010/01/11/lie-groups-in-nature/ Reading seminar 6: "Stable group theory and approximate subgroups", by Ehud Hrushovskihttp://terrytao.wordpress.com/2009/12/04/reading-seminar-6-stable-group-theory-and-approximate-subgroups-by-ehud-hrushovski/ GAP - Groups, Algorithms, Programming -a System for Computational Discrete Algebrahttp://www.gap-system.org/GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. Open question: noncommutative Freiman theoremhttp://terrytao.wordpress.com/2007/03/02/open-question-noncommutative-freiman-theorem/ An elementary non-commutative Freiman theoremhttp://terrytao.wordpress.com/2009/11/10/an-elementary-non-commutative-freiman-theorem/ Why do Groups and Abelian Groups feel so different?http://mathoverflow.net/questions/2551/why-do-groups-and-abelian-groups-feel-so-different Group Theoryhttp://arxiv.org/list/math.GR/recent The development of group theoryhttp://www-history.mcs.st-and.ac.uk/HistTopics/Development_group_theory.html Nilpotent grouphttp://en.wikipedia.org/wiki/Nilpotent_group History of group theoryhttp://en.wikipedia.org/wiki/History_of_group_theory Carter subgrouphttp://en.wikipedia.org/wiki/Carter_subgroup Centralizer and normalizerhttp://en.wikipedia.org/wiki/Self-normalizing Como armar el cubo de Rubik en segundoshttp://videosdetv.blogspot.com.ar/2007/02/como-armar-el-cubo-de-rubik-en-segundos.html GROUP PROPERTIESANDGROUP ISOMORPHISMhttp://math.ucsd.edu/~jwavrik/honors/manalo.pdf First Group Isomorphism Theoremhttp://mathworld.wolfram.com/FirstGroupIsomorphismTheorem.html How Mathematicians Study Symmetryhttp://web.maths.unsw.edu.au/~danielch/algebra07a/qinnotes.pdf Group Theory - J.S. Milnehttp://www.jmilne.org/math/CourseNotes/gt.html Groups Theory Bookshttp://www.freebookcentre.net/Mathematics/Groups-Theory-Books.html How to write down the representations of GL_nhttp://sbseminar.wordpress.com/2008/07/08/how-to-write-down-the-representations-of-gl_n/ ATLAS of Finite Group Representationshttp://brauer.maths.qmul.ac.uk/Atlas/ ABSTRACT ALGEBRA ON LINEhttp://www.math.niu.edu/~beachy/aaol/ Group Theory and Generalizationshttp://www.math.niu.edu/~rusin/known-math/index/20-XX.html Mis Enlaceshttp://delicious.com/ajlopez/grouptheory Nos leemos! Angel "Java" Lopezhttp://www.ajlopez.comhttp://twitter.com/ajlopez