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Relative centralizers of relative subgroups (Q2151735)

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Language	Label	Description	Also known as
English	Relative centralizers of relative subgroups	scientific article

Statements

scholarly article

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Relative centralizers of relative subgroups (English)

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Nikolai A. Vavilov

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Journal of Mathematical Sciences (New York)

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publication date

5 July 2022

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full work available at URL

https://arxiv.org/abs/2004.14285

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zbMATH Keywords

relative centralizer

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congruence subgroup

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elementary subgroup

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MaRDI profile type

MaRDI publication profile

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Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers

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Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability

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Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian

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Structure of Hyperbolic Unitary Groups I: Elementary Subgroups

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Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)

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Subgroups of the general linear group over a semilocal ring, containing the group of diagonal matrices

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Location of subgroups in the general linear group over a commutative ring

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Dimension theory and nonstable \(K_{1}\) of quadratic modules

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The yoga of commutators.

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Commutator width in Chevalley groups

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\(K_{1}\) of Chevalley groups are nilpotent

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Bak's work on the<i>K</i>-theory of rings

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The commutators of classical groups

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Multiple commutator formulas.

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A module structure on certain orbit sets of unimodular rows

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On subgroups of GL (n, A) which are generated by commutators. II.

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On non-normal subgroups of \(GL_ n(A)\) which are normalized by elementary matrices

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On subgroups of GL(n,A) which are generated by commutators

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Contributions to Noncommutative Ideal Theory

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On ideal-quotients and prime ideals

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Commutators of congruence subgroups in the arithmetic case

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An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$

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Normalizer of the Chevalley group of type ${\mathrm E}_6$

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Normalizer of the Chevalley group of type ${\operatorname E}_7$

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$\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$

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Overgroups of elementary symplectic groups

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Overgroups of $\mathrm{EO}(n,R)$

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Standard commutator formula.

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Standard commutator formula, revisited.

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Generation of relative commutator subgroups in Chevalley groups. II

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Commutators of relative and unrelative elementary groups, revisited

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Multiple commutators of elementary subgroups: end of the line

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10958-022-05973-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2151735

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