# Resources tagged with: Groups

### There are 10 results

Broad Topics >

Patterns, Sequences and Structure > Groups

##### Age 16 to 18 Challenge Level:

What groups of transformations map a regular pentagon to itself?

##### Age 11 to 18

An introduction to groups using transformations, following on from the October 2006 Stage 3 problems.

##### Age 16 to 18 Challenge Level:

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.

##### Age 16 to 18

An introduction to the sort of algebra studied at university, focussing on groups.

##### Age 16 to 18 Challenge Level:

Can you work out what simple structures have been dressed up in these advanced mathematical representations?

##### Age 7 to 16

An article for students and teachers on symmetry and square dancing. What do the symmetries of the square have to do with a dos-e-dos or a swing? Find out more?

##### Age 16 to 18 Challenge Level:

Explore the properties of some groups such as: The set of all real
numbers excluding -1 together with the operation x*y = xy + x + y.
Find the identity and the inverse of the element x.

##### Age 11 to 16

Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.

##### Age 16 to 18

This article only skims the surface of Galois theory and should
probably be accessible to a 17 or 18 year old school student with a
strong interest in mathematics.

##### Age 16 to 18

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