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THE GALOIS GROUP OF RANDOM ELEMENTS OF LINEAR GROUPS
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-4602-8362
2014 (English)In: American Journal of Mathematics, ISSN 0002-9327, E-ISSN 1080-6377, Vol. 136, no 5, 1347-1383 p.Article in journal (Refereed) Published
Abstract [en]

Let F be a finitely generated field of characteristic zero and Gamma <= GL(n) (F) a finitely generated subgroup. For gamma is an element of Gamma, let Gal(F(gamma)/F) be the Galois group of the splitting field of the characteristic polynomial of gamma over F. We show that the structure of Gal(F(gamma)/F) has a typical behavior depending on F, and on the geometry of the Zariski closure off Gamma (but not on Gamma).

Place, publisher, year, edition, pages
2014. Vol. 136, no 5, 1347-1383 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-154742ISI: 000342334500006Scopus ID: 2-s2.0-85000434645OAI: oai:DiVA.org:kth-154742DiVA: diva2:764497
Funder
EU, European Research Council
Note

QC 20141119

Available from: 2014-11-19 Created: 2014-10-27 Last updated: 2017-12-05Bibliographically approved

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Rosenzweig, Lior

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