Boğaziçi University Mathematics Colloquium

Finite groups with splitting automorphisms
Kıvanç Ersoy
Mimar Sinan Güzel Sanatlar Üniversitesi, Turkey
Özet : Thompson proved that a finite group with a fixed point free automorphism of prime order is nilpotent. Kegel proved the same result for splitting automorphisms of prime order. Prob- lems about splitting automorphisms of finite solvable groups are studied by Jabara, Kurzweil, Meixner and Khukhro. In this talk we will prove the following results: Theorem. (E.) A finite group with a splitting automorphism of odd order is solvable. Theorem:(E. - Gupta) For any $n\in N$, a finite group with a splitting automorphism of order $2^n$ is solvable.
  Tarih : 11.11.2015
  Saat : 14:00
  Yer : TB 240
  Dil : English
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