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. 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 and Z. REI
www.cambridge.org
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. 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 … the outer sunset
The local dimension of a finite group over a number field
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 WebESSENTIAL 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 is a Galois G-algebra over L.Therefore, ed(G) is the essential dimension of the functor taking a fleld Lto the set of isomorphism classes of Galois G-algebras over L. Example 1.3.1. Let … 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 … shuman blvd naperville il