Further MathsFurther Pure Mathematics
Group theory
Group axioms, Cayley tables, cyclic groups, orders, and isomorphisms.
12 worksheets12 questions
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- Intro
Binary operations and group axioms
Step 1 · 3 worksheets · 3 questions
- Practice
Cayley tables and modular groups
Step 2 · 3 worksheets · 3 questions
- Practice
Cyclic groups, subgroups, and isomorphism
Step 3 · 4 worksheets · 4 questions
- Cyclic Group Subgroups And IsomorphismGroups · 1 questionPractise in MathLab →
- Orders Subgroups And IsomorphismGroups · 1 questionPractise in MathLab →
- Possible Subgroup Orders Using Fermat S Little TheoremGroups · 1 questionPractise in MathLab →
- Subgroup Order ContradictionGroups · 1 questionPractise in MathLab →
- Challenge
Permutation groups and non-commutativity
Step 4 · 2 worksheets · 2 questions
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