Seminormal subgroup
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "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

• Tuval Foguel's Publications