Displaying similar documents to “On the Lagrange resolvents of a dihedral quintic polynomial.”

PSL ( 2 , 7 ) septimic fields with a power basis

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 P S L ( 2 , 7 ) .

Intersect a quartic to extract its roots

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...

Some results on local fields

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.