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Related lectures (31)

Page 2 of 4

Group Theory: Torsion and Divisibility

Covers the concepts of torsion and divisibility in group theory.

Group Theory: Special Cases

Covers special cases in group theory, focusing on group actions and functors.

Abelian Groups: First Approach

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

Bar Construction: Homology Groups and Classifying Space

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

Abelian Groups: Fourth Property

Explores the fourth property of p-Sylow subgroups in abelian groups.

Sylow Subgroups: Structure and Properties

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

The Role of Symmetries

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Algebra Review: Rings, Fields, and Groups

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Universal Property of Groups

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Quotients in Abelian Groups

Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.