class group
The genus class group I
... is surjective, i.e. ,f : ~VI -~ L splits, which yields (2.5). Now we are going to prepare the ground for the definition of the class- group of g. For any F-vector space V we denote by V’ = V 0p Q~ its ...
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A “class group” obstruction for the equation $Cy^d=F(x,z)$
... The main application of our result is to prove that equation (2) has no proper solution by showing that (a) or (b) does not hold. Hence, (a) and (b) have to be seen has necessary conditions for the existence of a proper ...
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On congruence half-factorial Krull monoids with cyclic class group
... – For such a d, what are conditions on the monoid that characterize that it is d-congruence half-factorial? Essentially equivalently, which monoids do yield a specific minimal distance? Since the introduction of these ...
58
On the $p$-rank of the ideal class group of a normal extension with simple Galois group
... Abstract. Let p be a prime and L a finite normal extension over a number field K whose Galois group is simple and non-abelian. The aim of this paper is to estimate a lower bound of the ratio of the p-rank of the ...
9
The logarithmic class group package in PARI/GP
... three group structures, given by their elementary divisors: ( Cl f F 0 , f Cl F 0 (`), Cl 0 ...the class group and units of F , hence the more involved initialization using ...
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Principalization algorithm via class group structure
... 3-class group of type (3, 3) by calculating the transfer kernels of any metabelian 3-group having abelianization of type (3, 3) with respect to its maximal ...
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Differences in sets of lengths of Krull monoids with finite class group
... It is an open question if, respectively to what extent, finite abelian groups (with Davenport’s constant greater or equal 4) are characterized by their system of sets of lengths. This is a contribution to the problem due ...
24
A computation of the action of the mapping class group on isotopy classes of curves and arcs in surfaces
... If we had a way of computing the Dehn-Thurston parameter values relative to the pants decompositions in Figure 1.3c from the parameter values relative to the pants decompo- sit[r] ...
157
Quelques apects géométriques et dynamiques du mapping class group
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Fast computation of class fields given their norm group
... ray class group of conductor ...norm group equal to a specific subgroup N of ...norm group of each of the extensions computed by the preceding algorithm, and is indeed implemented that way in ...
9
Small points on a multiplicative group and class number problem
... 3.1. Cyclotomic fields. Let’s start by the simpler case of a cyclotomic field K m = Q(ζ m ) where ζ m is a m-th primitive root of unity. Let e m be the exponent of the class group of K m . I) By Linnik’s ...
14
A class–field theoretical calculation
... use class–field theory to show that the answer to the Question above depends on the p–torsion subgroup of a certain idèle– class group associated to ...use class–field theory and Galois ...
11
Product of Group Languages
... you start with endwise testable (or “generalized definite”) languages, you get Brzozowski’s hierarchy, also called dot-depth hierarchy. The aim of this paper is to study the hierarchy whose level 0 consists of all ...
12
The imaginary abelian number fields with class numbers equal to their genus class numbers
... Hypothesis, Miyada has determined all imaginary abelian number fields N with class numbers equal to their genus class numbers such that the Galois groups are elementary 2-groups. (There seems to be one ...
18
Zinc-blende group III-V/group IV epitaxy: Importance of the miscut
... of group-III atoms at the step-edges becomes dominant over all the other contributions, and the step-flow regime is thus ...of group-III adatoms, which highly depends on the ...for group-III adatoms ...
10
The Current Status of CLASS
... s for all components of the source), though in practice no candidates which have passed the above-mentioned tests have been ruled out on this basis. Table 1 shows the current CLASS and JVAS lens systems. It should ...
4
Functional Neuroimaging Group Studies
... 1 Introduction Most neuroimaging statistical problems deal with the comparison of sets of images that embed some features of brain structure or function across a group of subjects, with the purpose to detect some ...
21
Superconducting group-IV semiconductors
... (coupling phonon frequencies to electronic bandwidth) ratio, the proximity of a MIT driven by electronic correlations (see Box 2), and the local nature of the co[r] ...
24
Report on discussion group 1
... 2.4 Expected vs. less (or even non) considered outcomes Rather unexpectedly, the main group reflections were about the outcome of the collaborative activities. A first line of issue dealt with a real difficulty in ...
5
Group Activity Selection Problem
... the size of a maximum individually rational assignment for an instance (N, A, P ) by #(N, A, P ). In Section 4, we study the complexity of computing a perfect or maximum individually rational as- signment for a-GASP, ...
12