Parameterizing solutions to any Galois embedding problem over $\mathbb{Z}/p^n\mathbb{Z}$ with elementary $p$-abelian kernel (Q403337)

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English	Parameterizing solutions to any Galois embedding problem over $\mathbb{Z}/p^n\mathbb{Z}$ with elementary $p$-abelian kernel	scientific article

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instance of

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title

Parameterizing solutions to any Galois embedding problem over $\mathbb{Z}/p^n\mathbb{Z}$ with elementary $p$-abelian kernel (English)

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29 August 2014

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full work available at URL

https://arxiv.org/abs/1109.4071

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zbMATH Keywords

Galois modules

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Kummer theory

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embedding problems

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automatic realizations

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realization multiplicity

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group extensions

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MaRDI profile type

MaRDI publication profile

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cites work

$p$-groups have unbounded realization multiplicity

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On the multiplicative group of cyclic $p$-extensions of a local field

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On $p$-groups as Galois groups.

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Plongement d'une extension qudratique dans une extension quaternionienne.

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Existence et construction des extensions galoisiennes et non-abéliennes de degré 8 d'un corps de caractéristique differente de 2.

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Q3271884

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Automatic realizability of Galois groups of order 16

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Realizability and automatic realizability of Galois groups of order 32

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Galois realizability of groups of order 64

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Groups of order 16 as Galois groups

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Unique realizability of finite Abelian 2-groups as Galois groups

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How often can a finite group be realized as a Galois group over a field?

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On 2-Groups as Galois Groups

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Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p n

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Q4115217

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Four non-abelian groups of order $p^4$ as Galois groups

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Q3183991

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Induced orthogonal representations of Galois groups

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On Galois cohomology and realizability of 2-groups as Galois groups

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On Galois cohomology and realizability of 2-groups as Galois groups. II

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Galois module structure of $p$th-power classes of extensions of degree $p$

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Galois embedding problems with cyclic quotient of order $p$

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GALOIS MODULE STRUCTURE OF pTH-POWER CLASSES OF CYCLIC EXTENSIONS OF DEGREE pn

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Automatic realization of Galois groups with cyclic quotient of order $p^n$

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Q3058644

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Central $p$-extensions of $(p, p, \dots, p)$-type Galois groups

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The Normal Closures of Certain Kummer Extensions

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Algebraic extensions of arbitrary fields

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Identifiers

zbMATH Open document ID

1328.12008

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Mathematics Subject Classification ID

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10.1016/J.JALGEBRA.2014.03.041

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Mathematics(1 entry)

mardi Publication:403337

Parameterizing solutions to any Galois embedding problem over \(\mathbb{Z}/p^n\mathbb{Z}\) with elementary \(p\)-abelian kernel (Q403337)

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Mathematics(1 entry)