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Relative subgroups in Chevalley groups (Q3580645)

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scientific article

Language	Label	Description	Also known as
English	Relative subgroups in Chevalley groups	scientific article

Statements

scholarly article

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Relative subgroups in Chevalley groups (English)

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publication date

13 August 2010

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full work available at URL

https://pure.qub.ac.uk/ws/files/674429/HazratPetrovVavilov.pdf

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zbMATH Keywords

Chevalley groups

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elementary subgroups

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congruence subgroups

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MaRDI profile type

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Structure of Hyperbolic Unitary Groups I: Elementary Subgroups

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AN <font>A</font><sub>3</sub>-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES <font>E</font><sub>6</sub> AND <font>E</font><sub>7</sub>

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Normality for elementary subgroup functors

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

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Normality of the elementary subgroups of twisted Chevalley groups over commutative rings

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On normal subgroups of Chevalley groups over commutative rings

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Quadratic modules and the orthogonal group over polynomial rings

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Decomposition of transvections: A theme with variations

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Chevalley groups over local rings

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On the normal structure of the general linear group over a ring

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Relativizing functors on rings and algebraic K-theory

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Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings

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Chevalley groups over commutative rings

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Factorizability of matrix functions: A direct proof

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Odd unitary groups.

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Overgroups of unitary groups.

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The structure of symplectic groups over arbitrary commutative rings

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THE STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING

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Some Normal Subgroups of Elementary Subgroups of Chevalley Groups Over Rings

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Ideals in Chevalley Algebras

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

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

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

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Chevalley groups over commutative rings. I: Elementary calculations

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On the Normal Subgroups of $G_2(A)$

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Net subgroups of Chevalley groups

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Weight elements of Chevalley groups

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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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On normal subgroups of Chevalley groups over commutative rings

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Journal of \(K\)-Theory

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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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10.1017/IS010003002JKT111

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Sitelinks

Mathematics(1 entry)

mardi Publication:3580645

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