Seminormal subgroup explained

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.^{[1] [2]}

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

Notes and References

1. .
2. . Foguel writes: "Su introduces the concept of seminormal subgroups and using this tool he gives four sufficient conditions for supersolvability."