Seminormal subgroup

In mathematics, in the field of group theory, a subgroup $A$ of a group $G$ is termed seminormal if there is a subgroup $B$ such that $AB\; =\; G$, and for any proper subgroup $C$ of $B$, $AC$ is a proper subgroup of $G$.

This definition of seminormal subgroups is due to Xiang Ying Su.

Every normal subgroup is seminormal. For finite groups, every quasinormal subgroup is seminormal.

A good reference for subgroup properties is "A Course in the Theory of Groups" by Derek J.S. Robinson.

External links

* [http://sciences.aum.edu/~tfoguel/publications.html Tuval Foguel's Publications]