Results 161 to 170 of about 48,689 (198)

On 2-Groups as Galois Groups

Canadian Journal of Mathematics, 1995
AbstractLetL/Kbe a finite Galois extension in characteristic ≠ 2, and consider a non-split Galois theoretical embedding problem overL/Kwith cyclic kernel of order 2. In this paper, we prove that if the Galois group ofL/Kis the direct product of two subgroups, the obstruction to solving the embedding problem can be expressed as the product of the ...
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Galois Groups and Fundamental Groups

2009
Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful ...
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Groups as Galois Groups

1996
This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis.
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The Primitivity of the Galois Group of a Trinomial

Journal of the London Mathematical Society, 1996
The primitivity of transitive permutation groups is examined in terms of conditions on a system of generators. The authors give a criterion of primitivity for the Galois group of an irreducible trinomial with integer coefficients of the form \(X^n+ ac^n X^s+ bc^n\) using the study of the inertia groups of primes in the splitting field of such ...
Movahhedi, A., Salinier, A.
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Witt Rings and Galois Groups

The Annals of Mathematics, 1996
This paper is concerned with the connections between the Witt ring of a field and the structure of certain Galois extensions of that field. In particular, it is shown that the Witt ring determines, and is determined by, the Galois group of a certain 2-extension of the field (with an unavoidable uncertainty over the characteristic of the Witt ring in ...
Mináč, Ján, Spira, Michel
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The Galois Group

1990
We now set up an analogy with symmetries of polygons in the plane even though some of the algebraic analogues have not yet been defined.
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On the Geometrization of the Absolute Galois Group

Journal of Mathematical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomials with frobenius galois groups

Communications in Algebra, 2000
An effective characterization of polynomials of degree n whose Galois groups are Frobenius groups with kernel of order n is given. Some examples of such polynomials are listed.
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Fuzzy Galois connections on fuzzy posets

Mathematical Logic Quarterly, 2009
Ling-Xia Lu
exaly  

Galois Hulls of Cyclic Codes over Finite Fields

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2020
Xiaohua Lu
exaly