Extrinsic properties of automorphism groups of formal groups

dc.creatorLubin, Jonathan D.
dc.creatorSarkis, Ghassan Y.
dc.date2006-10-17
dc.date.accessioned2026-07-07T07:29:08Z
dc.date.available2026-07-07T07:29:08Z
dc.descriptionWe prove two conjectures on the automorphism group of a one-dimensional formal group law defined over a field of positive characteristic. The first is that if a series commutes with a nontorsion automorphism of the formal group law, then that series is already an automorphism. The second is that the group of automorphisms is its own normalizer in the group of all invertible series over the ground field. A consequence of these results is that a formal group law in positive characteristic is determined by any one of its nontorsion automorphisms.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0610504
dc.identifierhttp://arxiv.org/abs/math/0610504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117988
dc.subjectNumber Theory
dc.subject11S31 (Primary) 14L05 (Secondary)
dc.titleExtrinsic properties of automorphism groups of formal groups
dc.typetext

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