# Monthly Archives: December 2013

## Group theory 3

In this post I show how the general linear group GL(V), the group of all automorphisms of V (the set of bijective linear transforms of a finite dimension vector space over a field F), can be considered isomorphic to the … Continue reading

## Group theory 2

An example follows of how to construct a character table for the finite group of permutations of three letters. Firstly establishing the number of irreducible representations (characters) of the group. Secondly establishing the degree of irreducible representations, the character table … Continue reading

## Group theory 1

The fundamental homomorphism theorem can be visualised as an instructive example is how a cyclic group is isomorphic to a quotient group structure and the corresponding homomorphism computes the remainders (mod n). Two numbers are congruent (mod n) if the … Continue reading

## Analytic number theory 6

Below is an outline proof of the prime number theorem …