Lecture

Sylow Subgroups: Group Theory

In course

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Description

This lecture delves into the concept of p-subgroups of Sylow, focusing on the general philosophy of studying mathematical objects 'one prime at a time', particularly in the context of abelian groups. Detailed calculations of decomposing into p-subgroups of Sylow are presented, along with a brief discussion on the (non)functoriality of the center and the set of p-subgroups of Sylow.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_c8l9h28u

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Ontological neighbourhood

Mathematics

Algebra: Representation theory, Abstract algebra

Theoretical computer science

Algorithms and data structures: Analysis of algorithms

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