Z
Zinovy Reichstein
Researcher at University of British Columbia
Publications - 146
Citations - 1910
Zinovy Reichstein is an academic researcher from University of British Columbia. The author has contributed to research in topics: Field extension & Essential dimension. The author has an hindex of 24, co-authored 142 publications receiving 1770 citations. Previous affiliations of Zinovy Reichstein include Oregon State University & California Institute of Technology.
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On the essential dimension of a finite group
J P Buhler,Zinovy Reichstein +1 more
TL;DR: In this paper, it was shown that the minimal number of algebraically independent coefficients of a monic polynomial of degree n is at least [n/2] for the symmetric group.
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On the notion of essential dimension for algebraic groups
TL;DR: The notion of essential dimension for linear algebraic groups defined over an algebraically closed fields of characteristic zero was introduced and studied in this article, where the essential dimension is defined as the minimal number of independent parameters required to describe all algebraic objects of a certain type.
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Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-Varieties
Zinovy Reichstein,Boris Youssin +1 more
TL;DR: In this article, it was shown that the stabilizer of every point of an algebraic group X is isomorphic to a semidirect product U⋊ A of a unipotent group U and a diagonalizable group A.
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Essential dimensions of algebraic groups and a resolution theorem for G-varieties
TL;DR: In this paper, it was shown that the stabilizer of an algebraic group is isomorphic to a semidirect product of a unipotent group U and a diagonalizable group A.
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Resolving G-torsors by abelian base extensions
TL;DR: In this article, it was shown that there exists a finite k-subgroup S of a linear algebraic group defined over a field k such that the natural map H 1 (K, S ) → H 1(K, G ) is surjective for every field extension K / k.