Lecture

Symmetric Group: Cycle Notation

Description

This lecture covers the symmetric group, focusing on the cycle notation, product of elements, and conjugation. It explains how an element can be presented as a product of disjoint cycles and how the symmetric group is generated by transpositions. The lecture also delves into group homomorphisms, normal subgroups, and quotient groups, providing examples and discussing the properties of non-abelian groups.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ci9v1d3a

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Ontological neighbourhood

Mathematics

Algebra: Representation theory, Abstract algebra

Mathematical logic: Set theory

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