Groups Further

Groups of Sets

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

The binary operation * for combining sets is defined as the union of two sets minus their intersection. Prove the set of all subsets of a set S together with the binary operation * forms a group.

Rose

Stage: 5 Challenge Level: Challenge Level:1

What groups of transformations map a regular pentagon to itself?

Poison, Antidote, Water

Stage: 4 and 5 Challenge Level: Challenge Level:1

Play the game of Poison, Antidote, Water to start to understand the mathematics of associativity and groups.