Noether's problem for some groups of order 16n

Ivo Michailov

Displaying similar documents to “Noether's problem for some groups of order 16n”

Galois covers with prescribed fibers : the Beckmann-Black problem

Pierre Dèbes (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On double covers of the generalized alternating group $ℤ_{d} ≀_{m}$ as Galois groups over algebraic number fields

Martin Epkenhans (1997)

Acta Arithmetica

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Let $ℤ_{d} ≀$ m $b e t h e g e n e r a l i z e d a l t e r n a t i n g g r o u p . W e p r o v e t h a t a l l d o u b l e c o v e r s o f$ ℤd ≀ m $o c c u r a s G a l o i s g r o u p s o v e r a n y a l g e b r a i c n u m b e r f i e l d . W e f u r t h e r r e a l i z e s o m e o f t h e s e d o u b l e c o v e r s a s t h e G a l o i s g r o u p s o f r e g u l a r e x t e n s i o n s o f ℚ (T) . I f d i s o d d a n d m > 7, t h e n e v e r y c e n t r a l e x t e n s i o n o f$ ℤd ≀ m $o c c u r s a s t h e G a l o i s g r o u p o f a r e g u l a r e x t e n s i o n o f ℚ (T) . W e f u r t h e r i m p r o v e s o m e o f o u r e a r l i e r r e s u l t s c o n c e r n i n g d o u b l e c o v e r s o f t h e g e n e r a l i z e d s y m m e t r i c g r o u p$ ℤd ≀ m $.$

On the inverse problem of Galois theory.

Núria Vila (1992)

Publicacions Matemàtiques

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The problem of the construction of number fields with Galois group over Q a given finite groups has made considerable progress in the recent years. The aim of this paper is to survey the current state of this problem, giving the most significant methods developed in connection with it.

Henselian Discrete Valued Fields Admitting One-Dimensional Local Class Field Theory

Chipchakov, I. (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 11S31 12E15 12F10 12J20. This paper gives a characterization of Henselian discrete valued fields whose finite abelian extensions are uniquely determined by their norm groups and related essentially in the same way as in the classical local class field theory. It determines the structure of the Brauer groups and character groups of Henselian discrete valued strictly primary quasilocal (or PQL-) fields, and thereby, describes the forms...

The Galois relation x₁ = x₂ + x₃ for finite simple groups

Kurt Girstmair (2007)

Acta Arithmetica

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Finitely generated pro-p-groups as Galois groups of maximal p-extensions of function fields over Qp.

Alexander Prestel, Christian U. Jensen (1996)

Manuscripta mathematica

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On Geometric Embedding Problems and Semiabelian Groups.

Ralf Dentzer (1995)

Manuscripta mathematica

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Formally Real Fields with a Simple Description of the Absolute Galois Group.

T.M. Viswanathan, A.J. Engler (1986)

Manuscripta mathematica

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Galois Theory of Abelian Groups.

J. Dalton Tarwater (1967)

Mathematische Zeitschrift

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Solvable-by-finite groups as differential Galois groups

Claude Mitschi, Michael F. Singer (2002)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Galois realizability of groups of order 64

Helen Grundman, Tara Smith (2010)

Open Mathematics

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This article examines the realizability of groups of order 64 as Galois groups over arbitrary fields. Specifically, we provide necessary and sufficient conditions for the realizability of 134 of the 200 noncyclic groups of order 64 that are not direct products of smaller groups.