#### Middle East Technical University General Seminars

Finite Groups Having Non-normal T.I. Subgroups
Muhammed Yasir Kızmaz
ODTÜ, Turkey
Özet : The structure of a finite group $G$ having a nonnormal T.I. subgroup $H$ which is also a Hall $\pi$ subgroup is studied. As a generalization of a result due to Gow, we prove that $H$ is a Frobenius complement whenever $G$ is $\pi$-separable. This is achieved by obtaining the fact that Hall T.I. subgroups are conjugate in a finite group. We also prove two theorems about normal complements one of which generalizes a classical result of Frobenius.
 Tarih : 01.11.2018 Saat : 15:40 Yer : Gündüz İkeda Seminar Room Dil : English