In this Note, we show the existence of a non-solvable Galois extension of Q which is unramified outside 2. The extension K we construct has degree , it has root discriminant , and is totally complex
This thesis studies Galois extensions of global fields and associated Galois groups with one ramifie...
The purpose of this note is to construct infinitely many real quadratic number fields each having an...
For each finite solvable group G, there is a minimal posi-tive integer ram(G) (resp. ramt(G)) such t...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
AbstractLetρbe a two-dimensional semisimple odd representation ofGal(Q/Q) over a finite field of cha...
63 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.We use modular forms to come u...
In the mid 90s, Dick Gross proposed the following conjecture. Conjecture: For every prime p, there ...
AbstractWe classify quadratic, biquadratic and degree 4 cyclic 2-rational number fields. We also cla...
Let L/K be a Galois etension with Galois group G, and (E) : 1→A→E→G→1 acentral extension. We study t...
AbstractThis paper gives some restrictions on finite groups that can occur as Galois groups of exten...
AbstractConsider the set of number fields unramified away from 2, i.e., unramified outside {2,∞}. We...
We study the inverse Galois problem with restricted ramifications. Let p and q be distinct odd prime...
In the mid 90s, Dick Gross made the following conjecture. Conjecture: For every prime $p$, there ...
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Galois repre...
This thesis studies Galois extensions of global fields and associated Galois groups with one ramifie...
The purpose of this note is to construct infinitely many real quadratic number fields each having an...
For each finite solvable group G, there is a minimal posi-tive integer ram(G) (resp. ramt(G)) such t...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
AbstractLetρbe a two-dimensional semisimple odd representation ofGal(Q/Q) over a finite field of cha...
63 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.We use modular forms to come u...
In the mid 90s, Dick Gross proposed the following conjecture. Conjecture: For every prime p, there ...
AbstractWe classify quadratic, biquadratic and degree 4 cyclic 2-rational number fields. We also cla...
Let L/K be a Galois etension with Galois group G, and (E) : 1→A→E→G→1 acentral extension. We study t...
AbstractThis paper gives some restrictions on finite groups that can occur as Galois groups of exten...
AbstractConsider the set of number fields unramified away from 2, i.e., unramified outside {2,∞}. We...
We study the inverse Galois problem with restricted ramifications. Let p and q be distinct odd prime...
In the mid 90s, Dick Gross made the following conjecture. Conjecture: For every prime $p$, there ...
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Galois repre...
This thesis studies Galois extensions of global fields and associated Galois groups with one ramifie...
The purpose of this note is to construct infinitely many real quadratic number fields each having an...
For each finite solvable group G, there is a minimal posi-tive integer ram(G) (resp. ramt(G)) such t...