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Related lectures (29)
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Coxeter Groups: Simple Reflections and Conjugacy
Explores the theorem that an element sending all simple roots to simple roots is the identity in Coxeter groups.
Symmetry and Group Theory
Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Points fixes et orbites
Covers fixed points, orbits, and stabilizer subgroups in group actions.
Class Equation and Burnside's Lemma
Explores the class equation and Burnside's lemma in group theory.
Class Equation and Burnside's Lemma
Covers the class equation in group theory and Burnside's Lemma, relating orbits and fixed points.
Symmetry and Group Theory: Exercise Set 3
Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.
Existence in Abelian Case and Group Center
Explores the existence of p-Sylow subgroups in finite groups and the abelian group center.
Linear Molecules: Carbon
Covers the properties of linear molecules in carbon and discusses neutral elements, associative law, and conjugate elements.
Primes in Arithmetic Progression
Explores primes in arithmetic progression, focusing on L-functions, characters, and the divergence of the sum of 1 over p for p congruent to a modulo q.
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