Quadratic subfields of quartic extensions of local fields.
Repka, Joe (1988)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Repka, Joe (1988)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Melisa J. Lavallee, Blair K. Spearman, Qiduan Yang (2012)
Journal de Théorie des Nombres de Bordeaux
Similarity:
We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group .
Raghavendra G. Kulkarni (2017)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Similarity:
In this note we present a new method for determining the roots of a quartic polynomial, wherein the curve of the given quartic polynomial is intersected by the curve of a quadratic polynomial (which has two unknown coefficients) at its root point; so the root satisfies both the quartic and the quadratic equations. Elimination of the root term from the two equations leads to an expression in the two unknowns of quadratic polynomial. In addition, we introduce another expression in one...
Patrick Morton (1996)
Compositio Mathematica
Similarity:
Akram Lbekkouri (2013)
Annales UMCS, Mathematica
Similarity:
Let K be a local field with finite residue field of characteristic p. This paper is devoted to the study of the maximal abelian extension of K of exponent p−1 and its maximal p-abelian extension, especially the description of their Galois groups in solvable case. Then some properties of local fields in general case are studied too.
William Vélez (1980)
Acta Arithmetica
Similarity:
Leonardo Cangelmi (1994)
Journal de théorie des nombres de Bordeaux
Similarity:
We give an effective characterization theorem for integral monic irreducible polynomials of degree whose Galois groups over are Frobenius groups with kernel of order and complement of prime order.
С. MacCluer (1967)
Acta Arithmetica
Similarity:
B. Birch, H Swinnerton-Dyer (1959)
Acta Arithmetica
Similarity: