Consider a set of elements for which there is a binary operation (e.g. the set of integers and the operation addition). The set forms a group if the closure, associativity, identity and inverse properties are satisfied.

The group is the basic mathematical system upon which more complicated systems might be built.

notes and activities - groups

spreadsheet - create a Cayley table for modulo addition and multiplication

review problems sheet - groups

resources page - groups / symmetry patterns