Dear Colleagues and Students,
You are cordially invited to the seminar organized by the Department of Mathematics.
Speaker: M. Yasir Kızmaz (Bilkent)
“Finite groups having nonnormal T.I. subgroups”
Abstract: In the present paper, the structure of a finite group G having a nonnormal T.I. subgroup H which is also a Hall π-subgroup is studied. As a generalization of a result due to Gow, we prove that H is a Frobenius complement whenever G is π-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.
Date: Monday, May 13, 2019
Place: Mathematics Seminar Room, SA – 141