On the essential dimension of a finite group

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 … 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

[math/0611673] Essential dimensions of finite groups

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 … Web7 de jan. de 2011 · We show that Y. Prokhorov's "Simple Finite Subgroups of the Cremona Group of Rank 3" implies that, over any field of characteristic 0, the essential … rdd schedule https://mans-item.com

On the Essential Dimension of a Finite Group - School of …

Webgroups attached to sl(2), the Vassiliev weight system arising from sl(2), and how these invariants come together through the Kontsevich invariant. Volume Conjecture for Knots - Hitoshi Murakami 2024-08-15 The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the ... Web1 de jun. de 2008 · We prove that the essential dimension and p-dimension of a p-group G over a field F containing a primitive p-th root of unity is equal to the least dimension of … Web22 de jan. de 2010 · We discuss essential dimension of group schemes, with particular attention to infinitesimal group schemes. We prove that the essential dimension of a group scheme of finite type over a field k is at least equal to the difference between the dimension of its Lie algebra and its dimension. Furthermore, we show that the … rdd rare disease

On the essential dimension of a finite group - Cambridge Core

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On the essential dimension of a finite group

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Web22 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 … Web1 de abr. de 2024 · Request PDF Essential dimension, pro-finite group schemes and anabelian geometry In the present paper we mix ideas from the fields of anabelian geometry and essential dimension, obtaining ...

On the essential dimension of a finite group

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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 … 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 …

Web1 de mai. de 2024 · Finite groups of essential dimension one. J. Algebra, 311 (1) (2007), pp. 31-37. MR2309876. Article. Download PDF View Record in Scopus Google Scholar. R. Lötscher, M. MacDonald, A. Meyer, Z. Reichstein. Essential p-dimension of algebraic groups whose connected component is a torus. 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 …

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 … 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 ...

WebJournal of Fluids and Structures 19 de julho de 2024. This paper examines an active mechanism of wake control for a turbulent flow regime of Reynolds number 1000 through finite volume, three-dimensional DES simulations. Eight peripheral rods equally spaced about a central body are forced to spin around their axes in two arrangements: case 0 ...

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- … how to spell awesomenessWebEssential Dimension of Finite Groups by Wanshun Wong Doctor of Philosophy in Mathematics University of California, Los Angeles, 2012 Professor Alexander Merkurjev, Chair In this thesis we study the essential dimension of the rst Galois cohomology functors of nite groups. Following the result by N. A. Karpenko and A. S. Merkurjev about the … how to spell awnryWebESSENTIAL DIMENSION OF FINITE p-GROUPS NIKITA A. KARPENKO AND ALEXANDER S. MERKURJEV Abstract. We prove that the essential dimension and p-dimension of a p-group G over a field F containing a primitive p-th root of unity is equal to the least dimension of a faithful representation of G over F. rdd shipmentWeb10 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 … how to spell awr struckWeb22 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. rdd row to dataframeWeb17 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 how to spell awwwWebThe concepts essential and finite dimension played an important role in the development of the dimension theory of modules over rings. Finite dimension, essential, strictly … rdd research design