The bookUnit 2 · Groups41 / 83

Group actions, class equation, p-groups

Why this is asked: The class equation is the engine: it proves p-groups have non-trivial centre, and drives the 'no simple group of order n' arguments.

Group actions, the class equation and p-groups

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The class equation, and what it proves about p-groupsinteractive

Counting orbits mod p — the argument behind almost every small-group structure result.

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Open this in the full syllabus view · Unit 2