# Group multiplication of permutations

The applet below is a device to help master the group multiplication of permutations; it serves as an illustration to Lemma 1. The applet randomly generates pairs of permutations f and g and displays their products fg and gf as well as their conjugates ^{ -1}gf^{ -1}fg.

The applet allows for two representations of permutations: as an ordered list of values

What if applet does not run? |

### Permutations

- Various ways to define a permutation
- Counting and listing all permutations
- Johnson-Trotter Algorithm: Listing All Permutations

- Group multiplication of permutations
- Permutations as a Product of Transpositions
- Product of permutations
- Recombining Permutations

|Contact| |Front page| |Contents| |Algebra|

Copyright © 1996-2018 Alexander Bogomolny

66163822