Large p-groups actions with |G| /g^2 > 4/ (p^2-1)^2
| dc.creator | Rocher, Magali | |
| dc.date | 2008-04-22 | |
| dc.date.accessioned | 2026-07-07T12:18:26Z | |
| dc.date.available | 2026-07-07T12:18:26Z | |
| dc.description | Let k be an algebraically closed field of characteristic p>0 and C a connected nonsingular projective curve over k with genus g>1. Let (C,G) be a "big action", i.e. a pair (C,G) where G is a p-subgroup of the k-automorphism group of C such that |G|/g > 2p / p-1. We first study finiteness results on the values taken by the quotient |G|/g^2 when (C,G) runs over the big actions satisfying |G|/g^2 >M, for a given positive real M>0. Then, we exhibit a classification and a parametrization of such big actions when M=4/ (p^2-1)^2. | |
| dc.identifier | https://arxiv.org/abs/0804.3494 | |
| dc.identifier | http://arxiv.org/abs/0804.3494 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212411 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14H10, 14H37, 20D15 | |
| dc.title | Large p-groups actions with |G| /g^2 > 4/ (p^2-1)^2 | |
| dc.type | text |