Symmetric Group and Group Actions

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Description

This lecture covers the Symmetric group, disjoint cycles, cycle decomposition, transpositions, even and odd permutations, the alternating group, and the action of a finite group on a finite set. The Orbit-Stabilizer theorem is also discussed.

Instructor

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Official source

Ontological neighbourhood

Mathematics

Algebra: Representation theory

Related lectures (27)

https://mediaspace.epfl.ch/media/0_m9zd8kx9

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In course

DEMO: commodo commodo sit cillum

Instructor

in Lorem elit ut

Ontological neighbourhood

Mathematics

Algebra: Representation theory

Related lectures (27)

Symmetric Group and Cycle Decomposition

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

Permutations and Symmetric Groups

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.

Symmetric Group and Alternating Group

Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.

Orbit-Stabilizer Theorem: Conjugacy Classes and Direct Products

Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.

Local structure of totally disconnected locally compact groups I

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