Thesis advisor: Mark Reeder / A polynomial is said to be invariant for a group of linear fractional transformations G if its roots are permuted by G. We begin by using a simple group of linear fractional transformations that is isomorphic to S_{3} and finding its invariant polynomials to build up the tools necessary to attack a larger group. We then follow a construction from Toth of the icosahedral group I, and derive a general formula for all polynomials of degree 60 that are invariant under I. / Thesis (BA) — Boston College, 2004. / Submitted to: Boston College. College of Arts and Sciences. / Discipline: Mathematics. / Discipline: College Honors Program.
| Identifer | oai:union.ndltd.org:BOSTON/oai:dlib.bc.edu:bc-ir_102408 |
| Date | January 2004 |
| Creators | Wenger, Paul |
| Publisher | Boston College |
| Source Sets | Boston College |
| Language | English |
| Detected Language | English |
| Type | Text, thesis |
| Format | electronic, application/pdf |
| Rights | Copyright is held by the author, with all rights reserved, unless otherwise noted. |
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