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Title:Galois Groups With Restricted Ramification
Author(s):Markin, Nadya
Doctoral Committee Chair(s):Boston, Nigel
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We use modular forms to come up with an infinite family of groups that can be realized with just one finite ramifying prime. Namely, we establish that ramQ (GL2( F l)) = 1 for infinitely many primes l and for all primes 7 < l < 106591. Finally, we show the nonexistence of extensions of Q of given orders unramified outside {2, infinity}.
Issue Date:2006
Type:Text
Language:English
Description:63 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
URI:http://hdl.handle.net/2142/86877
Other Identifier(s):(MiAaPQ)AAI3250286
Date Available in IDEALS:2015-09-28
Date Deposited:2006


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