Web1 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 … 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 INdAM Day, June 18, 2014, Springer, Cham (2014), pp. 221–228.
On the essential dimension of a finite group
WebIn this thesis we study the essential dimension of the first Galois cohomology functors of finite groups. Following the result by N. A. Karpenko and A. S. Merkurjev about the essential dimension of finite p-groups over a field containing a primitive p-th root of unity, we compute the essential dimension of finite cyclic groups and finite abelian groups … WebESSENTIAL DIMENSION OF FINITE p-GROUPS NIKITA A. KARPENKO AND ALEXANDER S. MERKURJEV Abstract. We prove that the essential dimension and p … popular now on bigooo islanda isole
Essential dimension: A survey Request PDF - ResearchGate
Web5 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 … 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 dimensions of the alternating group, A(7), and ... WebMatch 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- … popular now on bi home disappear