| ENCYCLOPEDIA 4U .com |
Encyclopedia Home Page |
|
|
Composition seriesA composition series of a group G is a chain of subgroups of G satisfying where stands for normal subgroup such that the quotient group of each link in the chain is a simple group.For a finite group G, such a composition series certainly exists; and the isomorphism classes of simple groups are unique, up to permutation. This is called the Jordan-Hölder theorem. See also Normal series. '\'This article is a stub. You can help Wikipedia by fixing it.'' 
|
Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities.
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Composition series".