Files in this item
Files | Description | Format |
---|---|---|
application/pdf ![]() ![]() | (no description provided) |
Description
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 |
This item appears in the following Collection(s)
-
Dissertations and Theses - Mathematics
-
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois