4.1: Groups
( \newcommand{\kernel}{\mathrm{null}\,}\)
Learning objectives for this unit are to:
- Know the four requirements of mathematical groups
- Multiply symmetry operations and construct group multiplication tables
- Determine the inverse of any operation in a group
- Prove that operations in a group are associative
- Determine the order of a group
- Determine if a group is abelian or non-abelian