Sabancı University Algebra Seminars

On nilpotent automorphism groups of function fields
Burçin Güneş
Sabancı University, Turkey
Özet : We study the automorphisms of a function field of genus g ≥ 2 over an algebraically closed field of positive characteristic p. More precisely, we show that the order of a nilpotent subgroup G of its automorphism group is bounded by 16(g − 1) when G is not a p-group. We show that if |G| = 16(g − 1), then g − 1 is a power of 2. Furthermore, we provide an infinite family of function fields attaining the bound. This is a joint work with Nurdagül Anbar.
  Tarih : 16.10.2019
  Saat : 13:40
  Yer : FENS building on Sabancı Campus in room G035
  Dil : English