Search by Topic

Resources tagged with Groups similar to An Introduction to Galois Theory:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 9 results

problem Icon

An Introduction to Galois Theory

Stage: 5

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.

problem Icon

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.

problem Icon

Sheffuls

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Discover a handy way to describe reorderings and solve our anagram in the process.

problem Icon

Zodiac

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

problem Icon

An Introduction to Mathematical Structure

Stage: 5

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

problem Icon

Shuffles

Stage: 5 Challenge Level: Challenge Level:1

An environment for exploring the properties of small groups.

problem Icon

What's a Group?

Stage: 5 Challenge Level: Challenge Level:1

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.

problem Icon

Dancing with Maths

Stage: 2, 3, 4 and 5

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?

problem Icon

Grouping Transformations

Stage: 3 and 4

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