On projective linear groups over finite fields as Galois groups over the rational numbers

Reference : On projective linear groups over finite fields as Galois groups over the rational numbers


	Document type :	Parts of books : Contribution to collective works
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/11539

Title :	On projective linear groups over finite fields as Galois groups over the rational numbers
Language :	English
Author, co-author :	Wiese, Gabor [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2008
Main document title :	Modular forms on Schiermonnikoog
Publisher :	Cambridge Univ. Press
Pages :	343--350
Peer reviewed :	Yes
City :	Cambridge
Abstract :	[en] Ideas and techniques from Khare's and Wintenberger's article on the proof of Serre's conjecture for odd conductors are used to establish that for a fixed prime l infinitely many of the groups PSL_2(F_{l^r}) (for r running) occur as Galois groups over the rationals such that the corresponding number fields are unramified outside a set consisting of l, the infinite place and only one other prime.
Permalink :	http://hdl.handle.net/10993/11539
DOI :	10.1017/CBO9780511543371.018
Other URL :	http://dx.doi.org/10.1017/CBO9780511543371.018

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