Group theory and generalizations Foundations Concept
Semidirect product
Summary
A semidirect product builds a group from a group and a group that acts on by automorphisms. It generalises the direct product, and becomes a normal subgroup of the result.
Where this leads
10 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Semidirect_product, lead section
About this page
| Tag | 0H3WZXCZNF |
|---|---|
| URI | m2://0H3WZXCZNF |
| Kind | concept |
| Writing | W1 stated |
| MSC | 20E22 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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What links here
Definitions
Used by
- Schur–Zassenhaus theorem
- Wreath product
- Poincaré group
- Wigner's classification
- Affine group
- Group extension
- Frobenius's theorem on Frobenius kernels