Blogs about: Group Theory
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Q and Q^2 are not Isomorphic as Groups
Point of Post: In this post we prove that as abelian groups, and discuss a generalization. Motivation As I was trying to go to sleep last night, I was pondering the contents of my post the other day. … more →
Abstract Nonsense
Regarding Cartan-Killing Form
wrote 1 week ago: The Cartan-Killing form or the Cartan-Killing inner product is a powerful method to characterized th … more →
A proof via Lagrange's theorem
wrote 1 week ago: Let’s assume for the sake of contradiction that there are finitely many primes. Let denote the … more →
Rememebering Évariste Galois
wrote 2 weeks ago: On May 31st 1892 a young man whispered to his brother, “Ne pleure pas, Alfred ! J’ai bes … more →
counter)induction ~ {group theory}
wrote 2 weeks ago: What does it mean to be unapologetically modern(ist) as a performer today? There is no doubt that th … more →
Keeler's Theorem (Futurama Theorem) and Products of Distinct Transpositions
wrote 2 weeks ago: In the television show Futurama, episode “The Prisoner of Benda,” Dr. Farnsworth created a machine t … more →
Algebra Strikes Again... (QP goes schizoid again)
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wrote 3 weeks ago: Today I woke up on the floor of my bedroom, naked, surrounded with papers scribbled on with black pe … more →
Rules of lambda epsilon calculus
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wrote 3 weeks ago: I updated the paper on lambda epsilon calculus. See the link to the actual version (updated daily) … more →
Lambda epsilon calculus, an attempt for a language of "computing with space"
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wrote 1 month ago: Just posted on the arxiv the paper Lambda calculus combined with emergent algebras. Also, I update … more →
X Factor
wrote 1 month ago: As a lapsed mathematician, I am more than happy to manipulate x to achieve my algebraic ends and hav … more →
Seven of Spades: The Duel
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wrote 1 month ago: At dawn, separated by twenty two paces, their vertices pointed in each other’s faces, the cube … more →
Three problems and a disclaimer
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wrote 1 month ago: In this post I want to summarize the list of problems I am currently thinking about. This is not a l … more →
Algebraic Combinatorics
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wrote 1 month ago: This must be my most prolific blogging period yet! Having started this blog over two years ago, I h … more →
Group Theory III: The Dihedral and Symmetric Groups
wrote 1 month ago: Let consider an object whose symmetry is even simpler than that of the tetrahedron — the equil … more →
Optimally Stacking the Deck - Texas Hold 'Em
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wrote 1 month ago: Main Theorem: There exist optimal stackings for standard two-player Texas Hold ‘Em. A Puzzle i … more →
Group Theory I: The Tetrahedron
wrote 1 month ago: Group theory is the study of symmetries. Abstractly, it is a set of transformations of an object whi … more →
Abstract Algebra in C#
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wrote 2 months ago: Motivation In C++ it is easy to define arbitrary template methods for computations involving primiti … more →
March 31, 2012 - Dr. Frank Wang - “Group Theory with Fruits – A Fun and Intuitive Introduction to Abstract Algebra & Beyond”
wrote 2 months ago: In this fun and interactive talk, Dr. Frank Wang will introduce students to the concepts and “big id … more →
The Surjective Map of so(3) to SO(3)
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wrote 2 months ago: This exercise is from Brian C. Hall book (Lie Groups, Lie Algebras and Representations). Show that i … more →
Groups in Music 2: Basic Algebraic Properties
wrote 2 months ago: Series Index. Now that we know what a group is, it would be nice if we could prove some things about … more →
