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

Bak's work on the<i>K</i>-theory of rings (Q3181747)

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scientific article

Language	Label	Description	Also known as
English	Bak's work on the<i>K</i>-theory of rings	scientific article

Statements

scholarly article

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

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publication date

12 October 2009

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zbMATH Keywords

form parameter

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nonstable K-theory

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surgery theory

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classical-like group

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K-theory of forms

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dimension theory

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Nikolai Vavilov

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MaRDI profile type

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full work available at URL

https://doi.org/10.1017/is008008012jkt087

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Zentrale Erweiterungen der speziellen linearen Gruppe eines Schiefkörpers.

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The congruence subgroup problem.

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On the stability of the \(K_1\)-functor for Chevalley groups of type \(E_7\)

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Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two

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Absolute stable rank and Witt cancellation for noncommutative rings

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A module structure on certain orbit sets of unimodular rows

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A group structure on certain orbit sets of unimodular rows

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

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Surjective stability for the \(K_ 1\)-functor for some exponential Chevalley groups

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The arithmetic theory of linear algebraic groups and number theory

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Odd unitary groups.

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One fixed point actions on spheres. I,II

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Classical groups over division rings of characteristic two

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A classification of subgroups of \(\Lambda\)-quadratic groups normalized by relative elementary groups

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THE GROUP OF UNITS OF A FREE PRODUCT OF RINGS

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Group extensions of p-adic and adelic linear groups

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Dimension theory and nonstable \(K_1\)

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On manifolds homeomorphic to the 7-sphere

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Introduction to Algebraic K-Theory. (AM-72)

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Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate

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A new type of classical groups over skew-fields of characteristic 2

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HERMITIAN AND QUADRATIC FORMS OVER RINGS WITH INVOLUTION

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Stable range in commutative rings

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Sur certains groupes simples

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Principe de Hasse faible pour les systèmes de formes quadratiques.

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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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Some hybrid symplectic group phenomena

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\(K\)-theory and stable algebra

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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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Normality for elementary subgroup functors

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Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups.

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Stability for Hermitian \(K_1\)

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Grothendieck and Witt groups of orders and finite groups

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\(K_ 2\)-analogs of Hasse's norm theorems

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The congruence subgroup and metaplectic problems for \(SL_{n>1}\) of division algebras

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Equivariant Intersection Theory and Surgery Theory for Manifolds with Middle Dimensional Singular Sets

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The dimension of spheres with smooth one fixed point actions

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\(K\)-theoretic groups with positioning map and equivariant surgery

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The computation of odd dimensional projective surgery groups of finite groups

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Induction for finite groups revisited

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Stable sandwich classification theorem for classical-like groups

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Arf's theorem for trace Noetherian and other rings

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Surgery of non-simply-connected manifolds

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The computation of even dimension surgery groups of odd torsion groups

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Grothendieck Groups of Modules and Forms Over Commutative Orders

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Motivic cohomology with \(\mathbb Z/2\)-coefficients

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Odd dimension surgery groups of odd torsion groups vanish

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The computation of surgery groups of odd torsion groups

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Overgroups of elementary symplectic 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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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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Some multilinear forms with large isometry groups

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A note on the subnormal structure of general linear groups

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Milnor'ory and quadratic forms over fields of characteristic two

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Normal Subgroups of Orthogonal Groups Over Commutative Rings

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The subnormal structure of general linear groups over rings

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STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION

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ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING

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Schur multiplier of a group of elementary matrices of finite order

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Formes quadratiques, groupes orthogonaux et algèbres de Clifford

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Stabilization theorem for the Milnor \(K_ 2-\)functor

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Quadratic modules and the orthogonal group over polynomial rings

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Algebraic \(K\)-theory and the norm residue homomorphism

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Relativizing functors on rings and algebraic K-theory

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The structure of symplectic groups over arbitrary commutative rings

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Generalized Poincaré's conjecture in dimensions greater than four

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Deleting-inserting theorem for smooth actions of finite nonsolvable groups on spheres

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Groups of homotopy spheres. I

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On the structure of the unitary Steinberg group

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Symmetric bilinear forms and quadratic forms

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Normal subgroups of classical groups over 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/IS008008012JKT087

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Sitelinks

Mathematics(1 entry)

mardi Publication:3181747

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