Pro-p Galois groups of rank ... 4.
Jochen Koenigsmann (1998)
Manuscripta mathematica
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Displaying similar documents to “Demuskin Groups of Rank N0 as absolute Galois Groups.”
Pro-p Galois groups of rank ... 4.
On p-groups as Galois groups.
Gudrun Brattström (1989)
Mathematica Scandinavica
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Small maximal pro-p Galois groups.
Ido Efrat (1998)
Manuscripta mathematica
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Pro-2-Demuskin groups of rank ...0 as Galois groups of maximal 2-extensions of fields.
Roger Ware, Ján Minác (1992)
Mathematische Annalen
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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.
On Geometric Embedding Problems and Semiabelian Groups.
Ralf Dentzer (1995)
Manuscripta mathematica
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Groups of Order 32 as Galois Groups
Michailov, Ivo (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12F12. We find the obstructions to realizability of groups of order 32 as Galois groups over arbitrary field of characteristic not 2. We discuss explicit extensions and automatic realizations as well. This work is partially supported by project of Shumen University
Realizability and automatic realizability of Galois groups of order 32
Helen Grundman, Tara Smith (2010)
Open Mathematics
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This article provides necessary and sufficient conditions for each group of order 32 to be realizable as a Galois group over an arbitrary field. These conditions, given in terms of the number of square classes of the field and the triviality of specific elements in related Brauer groups, are used to derive a variety of automatic realizability results.
Realisierung endlicher Gruppen als Galoisgruppen.
B. Heinrich Matzat (1985)
Manuscripta mathematica
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On the computation of resolvents and Galois groups.
Kurt Girstmair (1983)
Manuscripta mathematica
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On Galois cohomology and realizability of 2-groups as Galois groups
Ivo Michailov (2011)
Open Mathematics
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In this paper we develop some new theoretical criteria for the realizability of p-groups as Galois groups over arbitrary fields. We provide necessary and sufficient conditions for the realizability of 14 of the 22 non-abelian 2-groups having a cyclic subgroup of index 4 that are not direct products of groups.
Small Galois groups that encode valuations
Ido Efrat, Ján Mináč (2012)
Acta Arithmetica
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Exceptional groups of Lie type as Galois groups.
Gunter Malle (1988)
Journal für die reine und angewandte Mathematik
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Absolute Galois Groups of p-Adically Maximal PpC Fields.
Ido Efrat (1991)
Forum mathematicum
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Invariance groups of finite functions and orbit equivalence of permutation groups
Eszter K. Horváth, Géza Makay, Reinhard Pöschel, Tamás Waldhauser (2015)
Open Mathematics
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Which subgroups of the symmetric group Sn arise as invariance groups of n-variable functions defined on a k-element domain? It appears that the higher the difference n-k, the more difficult it is to answer this question. For k ≤ n, the answer is easy: all subgroups of Sn are invariance groups. We give a complete answer in the cases k = n-1 and k = n-2, and we also give a partial answer in the general case: we describe invariance groups when n is much larger than n-k. The proof utilizes...