Jordan's theorem (symmetric group)
From Infogalactic: the planetary knowledge core
Jordan's theorem is a statement in finite group theory. It states that if a primitive permutation group G is a subgroup of the symmetric group Sn and contains a p-cycle for some prime number p < n − 2, then G is either the whole symmetric group Sn or the alternating group An.
The statement can be generalized to the case that p is a prime power.
References
- Lua error in package.lua at line 80: module 'strict' not found.
- Lua error in package.lua at line 80: module 'strict' not found.
- Lua error in package.lua at line 80: module 'strict' not found.
External links
<templatestyles src="Asbox/styles.css"></templatestyles>
 |
This algebra-related article is a stub. You can help Wikipedia by expanding it. |
