Jordan-Hölder Theorem
The composition quotient groups belonging to two Composition Series of a Finite Group 
are, apart from theirsequence, Isomorphic in pairs. In other words, if
is one Composition Series and
is another, then
, and corresponding to any composition quotient group 
, there is a composition quotient group
such that 
This theorem was proven in 1869-1889.See also Composition Series, Finite Group, Isomorphic Groups
References
Lomont, J. S. Applications of Finite Groups. New York: Dover, p. 26, 1993.
- Boy Surface
- Bp-Theorem
- Bra
- Brachistochrone Problem
- Bracket
- Bracketing
- Bracket Polynomial
- Bracket Product
- Bradley's Theorem
- Brahmagupta Identity
- Brahmagupta Matrix
- Brahmagupta Polynomial
- Brahmagupta's Formula
- Brahmagupta's Problem
- Braid
- Braid Group
- Braid Index
- Braid Word
- Braikenridge-Maclaurin Construction
- Branch
- Branch Cut
- Branch Line
- Branch Point
- Brauer Chain
- Brauer Group