منابع مشابه
Pseudo-reflection groups and essential dimension
We give a simple formula for the essential dimension of a finite pseudoreflection group at a prime p and determine the absolute essential dimension for most irreducible pseudo-reflection groups. We also study the “poor man’s essential dimension” of an arbitrary finite group, an intermediate notion between the absolute essential dimension and the essential dimension at a prime p.
متن کاملSpaces and Groups with Conformal Dimension Greater than One
We show that if a complete, doubling metric space is annularly linearly connected then its conformal dimension is greater than one, quantitatively. As a consequence, we answer a question of Bonk and Kleiner: if the boundary of a one-ended hyperbolic group has no local cut points, then its conformal dimension is greater than one.
متن کاملEssential Dimension of Finite Groups in Prime Characteristic
Let F be a eld of characteristic p > 0 and G be a smooth nite algebraic group over F . We compute the essential dimension edF (G; p) of G at p. That is, we show that edF (G; p) = { 1, if p divides |G|, and 0, otherwise.
متن کاملOn the essential dimension of cyclic p - groups
Let p be a prime number and r ≥ 1 an integer. We compute the essential dimension of Z/pZ over fields of characteristic not p, containing the p-th roots of unity (theorem 3.1). In particular, we have edQ(Z/8Z) = 4, a result which was conjectured by Buhler and Reichstein in 1995 (unpublished).
متن کاملEssential Dimension and Canonical Dimension of Gerbes Banded by Groups of Multiplicative Type
We prove the formula ed(X ) = cdim(X ) + ed(A) for any gerbe X banded by an algebraic group A which is the kernel of a homomorphism of algebraic tori Q → S with Q invertible and S split. This result is applied to prove new results on the essential dimension of algebraic groups.
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2008
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2008.v12.n2.a2