Coatings: Definitions and Applications

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Related lectures (32)

Page 3 of 4

Direct Sums Arithmetic

Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

Torsion: Hom Functoriality and Exact Sequences

Explores the concept of torsion in group theory, focusing on its Hom functoriality and its role in exact sequences.

Existence of Direct Sums: Abelian Groups

Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.

Endomorphisms and automorphisms of totally disconnected locally compact groups

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing the properties of flat groups and free abelian subgroups.

Group Operations and Quotients

Explores group operations with cyclic properties and the universal ownership of quotients.

Group Theory: Subsets and Lagrange Theorem

Covers subsets in group theory and Lagrange's theorem with examples.

Exact Sequences: Splitting Remarks

Explores split exact sequences in group theory with a focus on characterization and isomorphisms.

Advanced Analysis II: Recap and Open Sets

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.

Introduction to Group Theory

Covers active learning, video lectures, exercises, categories, group actions, and abelian groups.

Central Results in Hermite Forms

Covers central results in Hermite forms and principal series representations in group theory.