On the essential dimension of a finite group

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August undefined, 2024

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 … 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. …

Essential dimension of finite p-groups SpringerLink

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

ESSENTIAL DIMENSION OF FINITE GROUPS arXiv:1801.00089v3 …

[math/0611673] Essential dimensions of finite groups

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 … 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 ... darby blood pressureWebESSENTIAL 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 … birth names of famous people

"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 " - On the essential dimension of a finite group

On the essential dimension of a finite group

Essential Dimensions of Algebraic Groups and a Resolution …

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 … 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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Web5 de abr. de 2024 · In this paper, we prove that, under precise spectral assumptions, some finite difference approximations of scalar leftgoing transport equations on the positive half-line with numerical boundary ... 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) …

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) … 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) …

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. 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 …

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 …

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. darby blank and the little people crosswordWeb12 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. darby blood pressure medWebAuthor: 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 … birth names of film starsWeb17 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 birth name of miley cyrusWebESSENTIAL 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. birth names of jesusWeb1 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 … birth name是什么意思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 … darby borough ecode