#### Maths

A couple of things you might find useful if you're playing around with Group Theory.

The permutations template contains these functions/procedures:

- Convert a perm to a disjoint perm
- Compose a pair, or a list, or a worksheet range of perms
- Invert
- Compute cycle symbol
- Compute equivalence classes
- Compute quotient group
- Compute conjugate, order, or raise to a power
- Check if a worksheet range contains a group
- Find lcm, hcf, left coset, right coset
- Mark centre, mark conjugacy classes
- Insert standard small group
- Expand group to Cayley Table

The Excel template is a workbook with three spreadsheets: the first is blank, the second contains an explanation of the functions and procedures and the third is an example based on the direct symmetries of a square prism. You can do 'View' ...'Toolbars'...and select 'Permutations' to get a toolbar with buttons to call the procedures.