Add to ORKG63 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.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}.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
Cette thèse est l'aboutissement de 4 années de recherches (DEA:2002 et doctorat:2003-2005) sur les c...
Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic...
For each finite solvable group G, there is a minimal posi-tive integer ram(G) (resp. ramt(G)) such t...
AbstractThis paper gives some restrictions on finite groups that can occur as Galois groups of exten...
This thesis focuses on a refinement of the inverse Galois problem. We explore what finite groups app...
This thesis focuses on a refinement of the inverse Galois problem. We explore what finite groups app...
This thesis focuses on a refinement of the inverse Galois problem. We explore what finite groups app...
This thesis studies Galois extensions of global fields and associated Galois groups with one ramifie...
金沢大学理工研究域機械工学系For a finite l-group G, let ramt(G) denote the minimal integer such that G can be real...
AbstractThis paper gives some restrictions on finite groups that can occur as Galois groups of exten...
Let L/K be a Galois etension with Galois group G, and (E) : 1→A→E→G→1 acentral extension. We study t...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
This thesis focuses on a refinement of the inverse Galois problem. We explore what finite groups app...
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
Cette thèse est l'aboutissement de 4 années de recherches (DEA:2002 et doctorat:2003-2005) sur les c...
Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic...
For each finite solvable group G, there is a minimal posi-tive integer ram(G) (resp. ramt(G)) such t...
AbstractThis paper gives some restrictions on finite groups that can occur as Galois groups of exten...
This thesis focuses on a refinement of the inverse Galois problem. We explore what finite groups app...
This thesis focuses on a refinement of the inverse Galois problem. We explore what finite groups app...
This thesis focuses on a refinement of the inverse Galois problem. We explore what finite groups app...
This thesis studies Galois extensions of global fields and associated Galois groups with one ramifie...
金沢大学理工研究域機械工学系For a finite l-group G, let ramt(G) denote the minimal integer such that G can be real...
AbstractThis paper gives some restrictions on finite groups that can occur as Galois groups of exten...
Let L/K be a Galois etension with Galois group G, and (E) : 1→A→E→G→1 acentral extension. We study t...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
This thesis focuses on a refinement of the inverse Galois problem. We explore what finite groups app...
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
Cette thèse est l'aboutissement de 4 années de recherches (DEA:2002 et doctorat:2003-2005) sur les c...
Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic...