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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, p. 1347-1383Article 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, p. 1347-1383
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-154742ISI: 000342334500006Scopus ID: 2-s2.0-85000434645OAI: oai:DiVA.org:kth-154742DiVA, id: 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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