Mimar Sinan Fine Arts University Mathematics Department Seminars

On the action of groups with TI-centralizers
İsmail Güloğlu
Doğuş Üniversitesi, Turkey
Özet : A subgroup H of a group G is called a TI-subgroup if H intersects trivially with any conjugate of H different from H and H is called an STI subgroup of G if for any normal subgroup N of G the subgroup HN/N is TI in G/N. In this talk the following result will be proven: If A is of prime order and acts coprimely on a finite group G in such a way that the subroup F of fixedpoints of A is a STI-subgroup of G then F is solvable if and only if G is solvable.
  Tarih : 24.11.2016
  Saat : 16:00
  Yer : MSGSÜ Matematik Bölümü
  Dil : English