AbstractConsider the set of number fields unramified away from 2, i.e., unramified outside {2,∞}. We show that there do not exist any such fields of degrees 9 through 15. As a consequence, the following simple groups are ruled out for being the Galois group of an extension which is unramified away from 2: Mathieu groups M11 and M12, PSL(3,3), and alternating groups Aj for 8<j<16 (values j⩽8 were previously known)
Let L/K be a Galois etension with Galois group G, and (E) : 1→A→E→G→1 acentral extension. We study t...
DoctorIn this article, under the assumption of the GRH(Generalized Riemann Hypothesis), we show that...
We employ methods from homotopy theory to define new obstructions to solutions of embedding problems...
AbstractWe classify quadratic, biquadratic and degree 4 cyclic 2-rational number fields. We also cla...
The purpose of this note is to construct infinitely many real quadratic number fields each having an...
Abstract. We specialize various three-point covers to find number fields with Galois group M12, M12....
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
In this Note, we show the existence of a non-solvable Galois extension of Q which is unramified outs...
The authors present three-point and four-point covers having bad reduction at 2 and 3 only, with Gal...
Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic...
In the mid 90s, Dick Gross proposed the following conjecture. Conjecture: For every prime p, there ...
In this paper we introdu e a new method for nding Galois groups by omputer. This is parti ularly ee...
In this article we construct number fields k which have a trivial class group, but an infinite unram...
We study the inverse Galois problem with restricted ramifications. Let p and q be distinct odd prime...
Let L/K be a Galois etension with Galois group G, and (E) : 1→A→E→G→1 acentral extension. We study t...
DoctorIn this article, under the assumption of the GRH(Generalized Riemann Hypothesis), we show that...
We employ methods from homotopy theory to define new obstructions to solutions of embedding problems...
AbstractWe classify quadratic, biquadratic and degree 4 cyclic 2-rational number fields. We also cla...
The purpose of this note is to construct infinitely many real quadratic number fields each having an...
Abstract. We specialize various three-point covers to find number fields with Galois group M12, M12....
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
In this Note, we show the existence of a non-solvable Galois extension of Q which is unramified outs...
The authors present three-point and four-point covers having bad reduction at 2 and 3 only, with Gal...
Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic...
In the mid 90s, Dick Gross proposed the following conjecture. Conjecture: For every prime p, there ...
In this paper we introdu e a new method for nding Galois groups by omputer. This is parti ularly ee...
In this article we construct number fields k which have a trivial class group, but an infinite unram...
We study the inverse Galois problem with restricted ramifications. Let p and q be distinct odd prime...
Let L/K be a Galois etension with Galois group G, and (E) : 1→A→E→G→1 acentral extension. We study t...
DoctorIn this article, under the assumption of the GRH(Generalized Riemann Hypothesis), we show that...
We employ methods from homotopy theory to define new obstructions to solutions of embedding problems...
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