Group theory and generalizations Finite groups Concept
Solvable group
Summary
A solvable group is a group with a subnormal series whose factor groups are all abelian. Equivalently, its derived series reaches the trivial subgroup.
Where this leads
9 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Solvable_group, Definition
About this page
| Tag | 0FXJ7YFMMX |
|---|---|
| URI | m2://0FXJ7YFMMX |
| Aliases | soluble-group |
| Kind | concept |
| Writing | W1 stated |
| MSC | 20F16 |
| Specializes | Group |
| 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)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Special cases
Used by
- Schur–Zassenhaus theorem
- Feit–Thompson theorem
- Fitting subgroup
- Hall's theorem on solvable groups
- Borel fixed-point theorem
- Tits alternative
- Borel subgroup
- Solvable Lie group