Coxeter Groups: Generators and Relations

Related lectures (30)

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Explores Coxeter groups, reflections, fundamental regions, and classification by Coxeter graphs.

Covers the definition of solvable groups and the abelian property of group quotients.

Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Covers group theory with a focus on group presentations and subgroup generation.

Explores the geometric equivalence of Coxeter groups with the same graph and positive definite matrices.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.