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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.

  1. Intro

    Binary operations and group axioms

    Step 1 · 3 worksheets · 3 questions

  2. Practice

    Cayley tables and modular groups

    Step 2 · 3 worksheets · 3 questions

  3. Practice

    Cyclic groups, subgroups, and isomorphism

    Step 3 · 4 worksheets · 4 questions

  4. Challenge

    Permutation groups and non-commutativity

    Step 4 · 2 worksheets · 2 questions

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