Last week I had a particularly bad day at work. I went to a meeting where just about every behaviour I warn students about was on display. 533 more words

## Tags » Group Theory

#### A Course in Mathematics

In recent months, I’ve taken a strong interest in Mathematics. Much stronger than what I had in Secondary and Third Level Education. It started with Cryptography and Encryption, but I soon learned I may be out of my depths if I don’t take a step back and brush up on other areas first. 266 more words

#### Representation theory of finite groups and commutativity degree

If is a finite group, we define its *commutativity degree* as the probability that two elements of commute, that is

It is surprising that the value of may give strong information about . 1,375 more words

#### Breuillard's ICM talk: uniform expansion, Lehmer's conjecture, tauhat

Emmanuel Breuillard is in Korea talking at the ICM; here’s his paper, a very beautiful survey of uniformity results for growth in groups, by himself and others, and of the many open questions that remain. 469 more words

#### Convo @ Linkedin Group: Theoretical Physics

René Gastelumendi Dargent asked:

*a) Does in the Universe (or in mind) exist at least two things that are 100% different? b) Can the “Set of all things that are not similar” exist?* 171 more words

#### Basic Algebra - Some Group Theory Theorems

So, now that we’ve seen some of the basic notation, I’m going to introduce some of my favourite group theory theorems.

I’m going to start with the obvious: The… 410 more words