Galois Groups With Restricted Ramification

Markin, Nadya

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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