| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8896917 | Journal of Number Theory | 2018 | 7 Pages |
Abstract
Suppose we have a elliptic curve over a number field whose mod l representation has image isomorphic to SL2(Fl). We present a method to determine Frobenius elements of the associated Galois group which incorporates the linear structure available. We are able to distinguish SLn(Fl)-conjugacy from GLn(Fl)-conjugacy; this can be thought of as being analogous to a result which distinguishes An-conjugacy from Sn-conjugacy when the Galois group is considered as a permutation group.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Matthew Bisatt,