On the essential dimension of a finite group

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August undefined, 2024

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 … Web2 de fev. de 2024 · If a finite linear group G of dimension d is not completely reducible, then its characteristic is a prime, p say, and the factor group of G modulo the largest normal p-subgroup O p(G) may be ...

Essential Dimension of Finite Groups

Web10 de jul. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. 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 how do thermometer work

(PDF) On the Essential Dimension of a Finite Group

Web2 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … 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 … WebEssential 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 much should my pension contribution be

On the minimal dimension of a faithful linear representation a finite group

Essential dimension of group schemes over a local scheme

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 … 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 … how do thermogenic fat burners workWeb6 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 … how much should my newborn be eating

"WebOur approach to this question (and generalizations) is basedon the idea of the ’essential dimension‘ of a finite group G:the smallest possible dimension of an algebraic G … " - On the essential dimension of a finite group

On the essential dimension of a finite group

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 ... Webon the essential dimension of alternating groups. Finally, in Section 7 we relate the essential dimension of a nite group Gto \versal" polynomials. This notion is related to …

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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 … 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 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 …

WebWe 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) … 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. …

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 … 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 INdAM Day, June 18, 2014, Springer, Cham (2014), pp. 221–228.

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 ...

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 … how much should my newborn eatWebThe concepts essential and finite dimension played an important role in the development of the dimension theory of modules over rings. Finite dimension, essential, strictly … how do thermonuclear bombs workWeb1 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 ... how do thermophiles adaptWebAuthor: 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 … how do thermometers work kidWeb7 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 … how do thermophiles moveWeboverview of the theory of essential dimension, we refer the reader to the surveys [Rei10] and [Me13]. The case where G is a ﬁnite group (viewed as a constant group over F) … how do thermometers measure heatWeb1 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 … how much should my pension pot be at 55