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Lecture
Important Facts of Fixed Points and Orbits
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Basic Notions, Ch III: Group Actions
Explores group actions on sets, orbits, fixed points, and classic results.
Class Equation and Burnside's Lemma
Explores the class equation and Burnside's lemma in group theory.
Group Actions: Examples and Applications
Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.
Points fixes et orbites
Covers fixed points, orbits, and stabilizer subgroups in group actions.
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Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.
Subsets and subgroups associated with an action
Explores subsets and subgroups related to group actions on sets.
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Explores the definition of orbits and fixed points of a G-object in any category, focusing on G-equivariant applications.
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Explores orbits in a G-ensemble, functions of fixed points, and G-equivariance.