McKay Graphs of Finite Subgroups of SU(2)

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

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Explores Coxeter groups classification, rotation orders, fundamental regions, and geometric equivalence.

Covers the concept of group presentations using generators and relations to define groups.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

Explores the construction of irreducible Coxeter groups and their geometric properties, focusing on classical and simply laced groups.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores the classification of positive definite connected Coxeter graphs through detailed calculations and proofs.

Explores the classification and construction of Coxeter groups, focusing on exceptional cases and the method of inductive construction.