An explicit integral polynomial whose splitting field has Galois group W(E_8)

Simple item page
dc.creatorJouve, F.
dc.creatorKowalski, E.
dc.creatorZywina, D.
dc.date2008-01-11
dc.date.accessioned2026-07-07T08:53:47Z
dc.date.available2026-07-07T08:53:47Z
dc.descriptionUsing the principle that characteristic polynomials of matrices obtained from elements of a reductive group over a number field typically have splitting field with Galois group isomorphic to its Weyl group, we construct an explicit monic integral polynomial of degree 240 whose splitting field has Galois group the Weyl group of the exceptional group of type E_8.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0801.1733
dc.identifierhttp://arxiv.org/abs/0801.1733
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145746
dc.subjectNumber Theory
dc.subjectGroup Theory
dc.subject11R32, 20G30, 12F12
dc.titleAn explicit integral polynomial whose splitting field has Galois group W(E_8)
dc.typetext

Files

Collections

arXiv