composition series
121Galois theory — In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory,… …
122Length of a module — In abstract algebra, the length of a module is a measure of the module s size . It is defined as the length of the longest ascending chain of submodules and is a generalization of the concept of dimension for vector spaces. The modules with… …
123Serial module — Chain ring redirects here. For the bicycle part, see Chainring. In abstract algebra, a uniserial module M is a module over a ring R, whose submodules are totally ordered by inclusion. This means simply that for any two submodules N1 and N2 of M,… …
124List of The X-Files awards and nominations — By award= American Cinema Editors*1996: Best Edited One Hour Series (for Unrhue , nominated)*1997: Best Edited One Hour Series (for The Post Modern Prometheus , nominated) Directors Guild of America*1995: Outstanding Directing Drama Series, Night …
125Structure theorem for finitely generated modules over a principal ideal domain — In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated abelian groups and roughly states that… …
126Schur–Zassenhaus theorem — The Schur–Zassenhaus theorem is a theorem in group theory which states that if G is a finite group, and N is a normal subgroup whose order is coprime to the order of the quotient group G/N, then G is a semidirect product of N and G/N.An… …
127Subgroup growth — Im mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. [citebook|title=Subgroup Growth|author=Alexander Lubotzky, Dan Segal|year=2003|publisher=Birkhäuser|id=ISBN… …
128Rubik's Cube group — The Rubik s Cube provides a tangible representation of a mathematical group. The Rubik s Cube group can be thought of as the set of all cube operations with function composition as the group operation. Any set of operations which returns the cube …
