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SUMMARY:Burçin Güneş (Sabancı University)
DTSTART:20201216T150000Z
DTEND:20201216T160000Z
DTSTAMP:20260422T172225Z
UID:UCGEN/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/20/">O
 n nilpotent automorphism groups of function fields</a>\nby Burçin Güneş
  (Sabancı University) as part of UCGEN - Uluslararası Cebirsel GEometri 
 Neşesi\n\n\nAbstract\nWe study the automorphisms of a function field of g
 enus $g\\geq 2$ over an algebraically closed field of positive characteris
 tic $p$. 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.\n
LOCATION:https://researchseminars.org/talk/UCGEN/20/
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