On the essential dimension of a finite group

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August undefined, 2024

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. 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.

On finite simple groups of essential dimension 3 - ResearchGate

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 … im trtc

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Weboverview 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) … 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. … 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. im tset obec th

ESSENTIAL DIMENSION OF FINITE -GROUPS - uni-bielefeld.de

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Web10 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 … Web10 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. dutch crypto currencyWeb1 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 ... im treff china restaurant

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

On the essential dimension of a finite group

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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 … 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 …

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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 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 …

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. WebESSENTIAL DIMENSION OF FINITE p-GROUPS NIKITA A. KARPENKO AND ALEXANDER S. MERKURJEV Abstract. We prove that the essential dimension and p …

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 … 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

Web1 de mar. de 2013 · We give an upper bound for the essential dimension of a smooth unipotent algebraic group over an arbitrary field. We also show that over a field k which is finitely generated over a perfect field, a smooth unipotent algebraic k -group is of essential dimension 0 if and only if it is k -split. Journal of Pure and Applied Algebra 217 (2013) …

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 ... im treff 7 trierWebCompositio 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 dutch cups bvWebMatch 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- … dutch cupboard etowahWeb12 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. im trucks ghanaWeb4 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 … dutch cups lelystadWebThe 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 … dutch customs agentWebWe 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) … im tryna see you ijn that hotel