Groups and Fields
Groups and fields in arithmetic
... Automorphism groups of fields ...automorphism groups of ...these groups are topological groups where we view them as subsets of Ω Ω , where Ω has the discrete topology and Ω Ω the ...
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VALUE GROUPS, RESIDUE FIELDS, AND BAD PLACES OF RATIONAL FUNCTION FIELDS
... VALUE GROUPS, RESIDUE FIELDS, AND BAD PLACES OF RATIONAL FUNCTION FIELDS FRANZ-VIKTOR KUHLMANN ...value groups and residue fields can appear, and we show how to construct extensions ...
42
Galois Groups of Polynomials and the Construction of Finite Fields
... finite fields with the aid of Galois groups of polynomials of small ...base fields and their splitting fields ...finite fields and Galois ...
7
Value groups and residue fields of models of real exponentiation
... closed fields and divisible ordered abelian groups which are η α –sets together with the characterisation of ℵ α ...closed fields and divisible ordered abelian groups which are η α –sets as ...
23
Classification of W-groups of Pythagorean formally real fields
... of fields via considering small Galois quotients of absolute Galois groups G F of Pythagorean formally real ...of groups G F i where the G F i are W-groups corresponding to the connected ...
91
Affine Nash groups over real closed fields
... We prove that a semialgebraically connected affine Nash group over a real closed field R is Nash isogenous to the semialgebraically connected component of the group H(R) of R-points of some algebraic group H defined over ...
Relational structure in the global automotive industry: groups, networks and fields
... these groups may represent the reconfiguration of competing constellations, discontinuities in the technologies used in the network or shifts in its power structures (Ahuja, Soda, & Zaheer, ...and groups, ...
20
p Tower Groups over Quadratic Imaginary Number Fields
... find fields with large p-rank for p = 2 by the classical genus theory of Gauss, and for other primes by the work of Yamamoto [Ya70], Mestre [Me83], and Buell [Bu76], among ...Galois groups G S (p) := Gal( Q ...
10
Starshaped and convex sets in Carnot groups and in the geometries of vector fields
... Carnot groups can be found in [7, 8, ...Carnot groups, namely respectively G-starshapedness and weak starshapedness; the latter working also in the general case of geometries of vector ...
22
Universal adelic groups for imaginary quadratic number fields and elliptic curves
... (2) What does the adelic point group of an elliptic curve over Q look like, as a topological group? For the first question, the focus on abelian Galois groups provides us with class field theory as a tool to ...
114
Effective bounds for Brauer groups of Kummer surfaces over number fields
... Abstract. We study effective bounds for Brauer groups of Kummer surfaces associated to Jacobians of genus 2 curves defined over number fields. 1. Introduction In 1971, Manin observed that failures of Hasse ...
38
Strongly Real Conjugacy Classes in Unitary Groups over Fields of Even Characteristic
... Strongly Real Conjugacy Classes in Unitary Groups over Fields of Strongly Real Conjugacy Classes in Unitary Groups over Fields of Even Characteristic.. Even Characteristic.[r] ...
55
A criterion to rule out torsion groups for elliptic curves over number fields
... certain groups of the form Z/ m Z ⊕ Z/ n Z do not occur as the torsion subgroup of any elliptic curve over suitable (families of) number ...certain groups as torsion groups of elliptic curves over ...
13
Principal series representations of Iwahori-Hecke algebras of Kac-Moody groups over local fields
... Principal series representations of Iwahori-Hecke algebras of Kac-Moody groups over local fields. Auguste Hébert[r] ...
25
On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior
... reductive groups over local fields, ...semi-simple groups, ...semi-simple groups, ...semi-simple groups over number fields with prescribed local ...
15
Aspects of the Arithmetic of Uniquely Trigonal Genus Four Curves: Arithmetic Invariant Theory and Class Groups of Cubic Number Fields
... Class groups of cubic fields ...number fields and prove in Theorem ...number fields defined by the fibres of f become Galois extensions of Q(µ 3 ) after tensoring with Q(µ 3 ...
93
CiteSeerX — Minimal Discriminants For Fields With Small Frobenius Groups As Galois Groups
... Now we want to des
ribe how we proved the minima for above mentioned groups in degree 8. We noted above that all of them orrespond to elds having a quadrati sub eld k. We will demonstrate how, given a quadrati ...
14
On linear algebraic groups over pseudoglobal fields
... In this paper we consider the linear algebraic groups over an algebraic function field K in one variable with a pseudofinite [5] constant field k. We call such a field K pseudoglobal. Recall that a perfect field k is ...
12
On the cohomology of finite groups over modular fields
... way to study the cohomology of a finite group, at least.. from an algebraic point of view, is within the.[r] ...
87
On the 16-rank of class groups of quadratic number fields
... Acknowledgements I am very grateful to my advisors Étienne Fouvry and Peter Stevenhagen for their guidance during the past three years, both mathematical and otherwise. Prof. Stevenhagen shared his immense expertise in ...
114