On the essential dimension of a finite group

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August undefined, 2024

WebMatch case Limit results 1 per page. On the Essential Dimension of a Finite Group J. Buhler Department of Mathematics, Reed College, Portland, OR 97202 USA Z. Reichstein Department of Mathematics, Oregon State University, Corvallis, OR 97331 USA December 31, 1995 Abstract. Let f (x)= ∑ a i x i be a monic polynomial of degree n whose coeﬃ- … Web17 de jun. de 2024 · High Performance Single-Site Finite DMRG on GPUs. Conference: CAIBDA 2024 - 2nd International Conference on Artificial Intelligence, Big Data and Algorithms 06/17/2024 - 06/19/2024 at Nanjing, China . Proceedings: CAIBDA 2024. Pages: 5Language: englishTyp: PDF

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Web5 de fev. de 2024 · The notion of essential dimension of a finite group over a field k was introduced by Buhler and Reichstein [].It was later extended to various contexts. First Reichstein generalized it to linear algebraic groups [] in characteristic zero; afterwards Merkurjev gave a general definition for functors from the category of extension fields of … WebESSENTIAL DIMENSION OF FINITE p-GROUPS 3 If G is a ﬂnite group, we view G as a constant group over a ﬂeld F.Every G-torsor over SpecL has the form SpecK where K … chinese take out frederick md

On the essential dimension of unipotent algebraic groups

Web31 de mar. de 1997 · Abstract: We introduce and study the notion of essential dimension for linear algebraic groups defined over an algebraically closed fields of characteristic zero. … Web5 de abr. de 2024 · In this paper, we prove that, under precise spectral assumptions, some finite difference approximations of scalar leftgoing transport equations on the positive half-line with numerical boundary ... Web6 de set. de 2024 · In this paper, we compute the essential p-dimension of the finite simple groups of classical Lie type at the defining prime, specifically the simple groups arising … chinese take out in huntington ny

The essential dimension of congruence covers - Cambridge Core

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Web12 de set. de 2024 · A. Beauville, “Finite simple groups of small essential dimension,” in Trends in Contemporary Mathematics. Selected Talks Based on the Presentations at the … Web24 de nov. de 2008 · We investigate essential dimension of finite groups over arbitrary fields and give a systematic treatment of multihomogenization, introduced by H.Kraft, G.Schwarz and the author. We generalize the central extension theorem of Buhler and Reichstein and use multihomogenization to substitute and generalize the stack-involved … chinese take out in livingston njWeb22 de nov. de 2006 · Abstract: We study the essential dimension of a finite group G over a field K. A generalization of the central extension theorem of Buhler and Reichstein … chinese takeout in fernandina beach

"WebAuthor: Karl-Hermann Neeb Publisher: Springer Science & Business Media ISBN: 0817647414 Category : Mathematics Languages : en Pages : 492 Download Book. Book Description This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of … " - On the essential dimension of a finite group

On the essential dimension of a finite group

On finite simple groups of essential dimension 3 - ResearchGate

WebCompositio Mathematica 106: 159–179, 1997. 159 c 1997 Kluwer Academic Publishers. Printed in the Netherlands. On the essential dimension of a ﬁnite group J. BUHLER1 and Z. REI WebESSENTIAL Group, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ... are not directly amenable to analysis by general-purpose CFD codes based on finite-volume or finite-element discretization on ... (three-dimensional, albeit anisotropic) turbulence can occur in typical blanket conditions only if poorly electrically ...

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Web22 de nov. de 2006 · We study the essential dimension of a finite group G over a field K. A generalization of the central extension theorem of Buhler and Reichstein (Compositio Math. 106 (1997) 159-179, Theorem 5.3) is obtained. We also get lower bounds of essential dimension of symmetric groups and alternating groups over field of any characteristic. WebOur approach to this question (and generalizations) is based on the idea of the “essential dimension ” of a finite group G: the smallest possible dimension of an algebraic G …

Web4 de dez. de 2007 · On the essential dimension of a finite group - Volume 106 Issue 2. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to … Web15 de dez. de 2024 · Thirdly we take locally finite presentation schemes, but this does not cause problems since the essential dimension of an algebraic affine group scheme is finite. If S is the spectrum of a field then by [2, Lemma 6.11 and Remark 6.12] the classical definition using compressions [2, Definition 6.8] of essential dimension is equivalent to …

Web20 de nov. de 2024 · Essential dimension of finite p-groups. Inventiones mathematicae, Vol. 172, Issue. 3, p. 491. CrossRef; Google Scholar; Meyer, Aurel and Reichstein, Zinovy 2009. The essential dimension of the normalizer of a maximal torus in … Web1 de jun. de 2013 · We compare the notions of essential dimension and stable cohomological dimension of a finite group G, prove that the latter is bounded by the length of any normal series with cyclic quotients for ...

Web3 de abr. de 2013 · In the paper we survey research on the essential dimension. The highlights of the survey are the computations of the essential dimensions of finite …

WebThis generalizes a classical theorem of Felix Klein on quintic polynomials and is related to an algebraic form of Hilbert‘s 13th problem. Our approach to this question (and … grandview washington high schoolWeb1 de mai. de 2024 · Let F be a field of characteristic p > 0 and G be a smooth finite algebraic group over F. Then ed F (G; p) = {1, if p divides G , and 0, otherwise. In … grandview washington mapWeb10 de abr. de 2024 · When functioning in normal situations, organizations adjust to complexity within a certain level of resilience, but information, resources and time are always finite, which affects such adjustments. Thus, when unexpected events occur—and healthcare is prone to unexpected events—the adjustments may not be enough to keep … grandview washington countyWebThe essential dimension of a linear algebraic group G is always finite and bounded by the minimal dimension of a generically free representation minus the dimension of G. For … grandview washington cemeteryWebESSENTIAL DIMENSION OF FINITE p-GROUPS 3 If G is a ﬂnite group, we view G as a constant group over a ﬂeld F.Every G-torsor over SpecL has the form SpecK where K is a Galois G-algebra over L.Therefore, ed(G) is the essential dimension of the functor taking a ﬂeld Lto the set of isomorphism classes of Galois G-algebras over L. Example 1.3.1. Let … grandview washington newsWebIn this thesis we study the essential dimension of the first Galois cohomology functors of finite groups. Following the result by N. A. Karpenko and A. S. Merkurjev about the essential dimension of finite p-groups over a field containing a primitive p-th root of unity, we compute the essential dimension of finite cyclic groups and finite abelian groups … chinese take out in whitefieldWeb12 de set. de 2024 · A. Beauville, “Finite simple groups of small essential dimension,” in Trends in Contemporary Mathematics. Selected Talks Based on the Presentations at the INdAM Day, June 18, 2014, Springer, Cham (2014), pp. 221–228. grandview washington nursing home