2024 On the essential dimension of a finite group

On the essential dimension of a finite group

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August undefined, 2024

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 … 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 …

On the essential dimension of infinitesimal group schemes

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. 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) … janis joplin lyrics piece of my heart

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

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) … 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 … 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 … lowest price vet in chandler

ESSENTIAL DIMENSION OF FINITE -GROUPS - UCLA Mathematics

On finite simple groups of essential dimension 3 - ResearchGate

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 … 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 … janis joplin inspired outfitsWeb1 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 ... janis joplin lyrics mercedes benz

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

On the essential dimension of a finite group

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) … 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 …

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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 … 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 … Web2 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …

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 … 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.

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.

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 … lowest price video camerasWebESSENTIAL DIMENSION OF FINITE p-GROUPS NIKITA A. KARPENKO AND ALEXANDER S. MERKURJEV Abstract. We prove that the essential dimension and p … janis joplin little girl blue lyricsWebEssential 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 … lowest price vionic lizbeth t strap sandalWeb5 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 … janis joplin me and bobby mcgee remasteredWebOur 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 … lowest price video clipsWeb12 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. janis joplin me and bobby videoWebThe concepts essential and finite dimension played an important role in the development of the dimension theory of modules over rings. Finite dimension, essential, strictly … janis joplin me and bobby mcgee live youtube