On the essential dimension of a finite group

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August undefined, 2024

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 ... WebThe 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 …

Quasi-Simple Finite Groups of Essential Dimension 3

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 … 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 … chubby checker the twist 1960

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Webapproach to modules and linear algebra, a fresh take on Gröbner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow theory and the structure of finite abelian groups. Galois theory 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. 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) … designer appropriates sacred inuit markings

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WebShimura varieties essential dimension finite flat group schemes. MSC classification. Primary: 14G35: Modular and Shimura varieties Secondary: 11G18: Arithmetic aspects of modular and Shimura varieties Type Research Article. Information Compositio Mathematica, Volume 157, Issue 11, November 2024, pp. 2407 - 2432. Web10 de jan. 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 … designer architect nyc award recipientWeb22 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 … designer ariel orkin and costs

"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 … " - On the essential dimension of a finite group

On the essential dimension of a finite group

Application of Multihomogeneous Covariants to the Essential Dimension ...

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 … WebESSENTIAL 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.

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WebIn 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 … Web2 de fev. de 2024 · Download a PDF of the paper titled On the minimal dimension of a faithful linear representation of a finite group, by Alexander Moret\'o

WebThe concepts essential and finite dimension played an important role in the development of the dimension theory of modules over rings. Finite dimension, essential, strictly … 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

Web1 de jan. de 2013 · The computation of the essential dimension is a challenging problem of algebra and algebraic geometry. The finite groups of essential dimension ≤ 2 have … 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 …

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 …

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 ... designer arm pincushionWeb10 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 … designer armchairsWeb1 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 ... designer art deco wallpaperWeb24 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 … designer archways for kitchensWebEssential 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 … designer art business card caseWeb10 de out. de 2024 · I am chemist and ask for apologies for all my mathematical inabilities when asking this question in advance, but after quite a bit of searching I found that this problem could be "open" or at least hard enough to find addressed in the literature and also advanced enough that it's possibly suitable to be asked here. designer artificial flower arrangementsWebMatch 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- … designer armchair malaysia