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

D. Zywina; E. Kowalski; F. Jouve

REVIEW

An explicit integral polynomial whose splitting field has Galois group W(E₈)

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 0801.1733 v1 pith:BEOO2BM3 submitted 2008-01-11 math.NT math.GR

An explicit integral polynomial whose splitting field has Galois group W(E₈)

F. Jouve , E. Kowalski , D. Zywina This is my paper

classification math.NT math.GR

keywords groupfieldgaloissplittingexplicitintegralpolynomialweyl

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

Using 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.

An explicit integral polynomial whose splitting field has Galois group W(E₈)

discussion (0)