AbstractStarting from a base field with properties similar to those of the rational numbers, the structure of the ideal class group of a biquadratic dicyclic extension is examined. Class number relations and structural connections between the ideal class groups of the intermediate fields allow the determination of this structure in some cases. Explicit computations are performed for some number fields of degree 8
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
We investigate improvements to the algorithm for the computation of ideal class groups described by ...
AbstractStarting from a base field with properties similar to those of the rational numbers, the str...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
When we form a finite algebraic extension of Q, we are not guaranteed that the ring of integers, O, ...
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
Almost 20 years ago, W. Narkiewicz posed the problem to give an arithmetical characterization of the...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
AbstractWe compute the index of a certain extension of Sinnott's group of circular units in the grou...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
We investigate improvements to the algorithm for the computation of ideal class groups described by ...
AbstractStarting from a base field with properties similar to those of the rational numbers, the str...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
When we form a finite algebraic extension of Q, we are not guaranteed that the ring of integers, O, ...
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
Almost 20 years ago, W. Narkiewicz posed the problem to give an arithmetical characterization of the...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
AbstractWe compute the index of a certain extension of Sinnott's group of circular units in the grou...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
International audienceWe give an algebraic proof of a class number formula for dihedral extensions o...
We investigate improvements to the algorithm for the computation of ideal class groups described by ...
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