On the essential dimension of a finite group
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. … 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 …
On the essential dimension of a finite group
Did you know?
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 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 ...
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. WebOur 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 …
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) … 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 …
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 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. iphigenia parentsWeb12 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 … iphigenia of greek mythWebESSENTIAL 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 … iphigenia sourcesWebgroups 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 ... iphigenityWeb7 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 … iphigenie location serviceWeb22 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 … iphigenia pronounceWeb1 de mai. de 2024 · Let F be a field of characteristic p > 0 and G be a smooth finite algebraic group over F. Then ed F (G; p) = {1, if p divides G , and 0, otherwise. In … iphigenia srl