Lecture

Group Theory: Direct Sum of Abelian Groups

In course

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Description

This lecture delves into the arithmetic of the direct sum of abelian groups, exploring concepts like the Eilenberg swindle and defining operations to form a commutative monoid. The instructor demonstrates how to turn a monoid into a commutative group, highlighting the importance of associative and commutative binary operations and neutral elements. The lecture concludes with the construction of a group from a given relation on a 2x2 matrix.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_2shevula

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Linear algebra

Arithmetic: Topics in arithmetic

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