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On nilpotent automorphism groups of function fields.
- Source :
-
Advances in Geometry . Jan2022, Vol. 22 Issue 1, p69-78. 10p. - Publication Year :
- 2022
-
Abstract
- We study the automorphisms of a function field of genus g ≥ 2 over an algebraically closed field of characteristic p > 0. 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *AUTOMORPHISM groups
*AUTOMORPHISMS
*NILPOTENT groups
Subjects
Details
- Language :
- English
- ISSN :
- 1615715X
- Volume :
- 22
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 154923792
- Full Text :
- https://doi.org/10.1515/advgeom-2021-0006