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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Advanced Algebra > Subgroups

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Stage: 5 Challenge Level: Challenge Level:1

An environment for exploring the properties of small groups.

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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.

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Small Groups

Stage: 5

Learn about the rules for a group and the different groups of 4 elements by doing some simple puzzles.