Group theory and generalizations Finite groups Concept
P-group
Summary
For a prime number , a -group is a group in which the order of each element is a power of . A finite group is a -group if and only if its order is a power of .
Where this leads
10 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/P-group, lead section
About this page
| Tag | 06QYRTX9KQ |
|---|---|
| URI | m2://06QYRTX9KQ |
| Aliases | p-group |
| Kind | concept |
| Writing | W1 stated |
| MSC | 20D15 |
| 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
Used by
- Pro-p group
- Extraspecial group
- Sylow theorems
- Frattini subgroup
- Brauer's main theorems
- Golod–Shafarevich theorem
- Brauer's theorem on induced characters