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Lecture
Basic Notions, Ch III: Group Actions
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Related lectures (31)
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Important Facts of Fixed Points and Orbits
Explores group actions, fixed points, orbits, Equation of Class, and Burnside's Lemma.
Class Equation and Burnside's Lemma
Explores the class equation and Burnside's lemma in group theory.
Subsets and subgroups associated with an action
Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.
Points fixes et orbites
Covers fixed points, orbits, and stabilizer subgroups in group actions.
Subsets and subgroups associated with an action
Explores subsets and subgroups related to group actions on sets.
Group Actions: Examples and Applications
Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.
Active Learning: Group Structures and Symmetric Actions
Explores active learning implications in understanding group structures and symmetric actions.
Fixed Points and Orbits Analysis: Group Actions
Explores the definition of orbits and fixed points of a G-object in any category, focusing on G-equivariant applications.
Useful Variants on Beta Action
Covers abelian groups, Sylow subgroups, and variants on beta action.
Group Theory: Actions and Stabilizers
Explores group actions, subsets, points fixes, orbits, and stabilizers.