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BRANCH OVERVIEW

Group theory

Symmetry, actions, and quotient structures.

← All branches · Each sheet includes definitions, theorems, applications, and exercises with hints and worked solutions.

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Group theory

Symmetry, actions, and quotient structures.

Groups & subgroupsA group isolates the algebra of reversible operations.
Homomorphisms & quotientsA quotient identifies precisely the information a homomorphism forgets.
Group actions & countingStudy a group by what it moves and what it fixes.