Inner & Outer Semidirect Products Derivation

Uploaded January 2021 | Updated September 2026, 2 weeks ago

Semidirect products are a very important tool for studying groups because they allow us to break a group into smaller components using normal subgroups and complements! Here we describe a derivation for the idea of semidirect products and an explanation of how the map into the automorphism group relates to conjugation.

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0:00 Inner semidirect product
11:18 Outer semidirect product

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Inner & Outer Semidirect Products Derivation - Group Theory

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