[GrR] M. Reid, Groups and representations. Course notes available
from
here. For other books see below.
The Warwick UG Handbook entry is
here.

I provide various simple Magma routines, mainly as sanity checks on
the material of the notes.

All of these run instantly in the Magma online calculator.

We don't need computer algebra for the course, which is concerned with
theoretical

understanding. But when we apply the theory to substantial
arguments, we may need

to do hundreds of calculations, and it is
unreasonable to expect to do them by

hand with any chance of getting
the right answers.

BT24 The binary tetrahedral group from 2.3 and 3.4.

BD48 The binary dihedral group BD48 from Ex. 3.9.

Character table of BT24 from 5.9

I60 as matrix group from 7.5

Triangle groups from 7.6

The matrix generators of BI120 from 7.8

Generators and relations for A_4 from Ex 7.13

Flexes of the Klein quartic and proof of Proposition 10.9.

### Books:

Several Warwick lecturers have used the lecture notes by
Yuri Bazlov, ed. Daan Krammer

The book Gordon James and Martin Liebeck, CUP 1993 contains an
excellent and

comprehensive treatment of the subject. The only small
problem from my point

of view is that they write group actions on the
right (that is v,g -> vg, like a matrix

multiplying row vectors on
the right) whereas I want to use functional notation g(v).