We prove that the Chow motives of twisted derived equivalent K3 surfaces are isomorphic, not only as (due to Huybrechts), but also Frobenius algebra objects. Combined with a recent result Huybrechts, we conclude two complex projective isogenous (i.e. their second rational cohomology groups Hodge isometric) if and isomorphic objects; this can be regarded motivic Torelli-type theorem. ask whether...

Attribution-Noncommercial 3.0 Unported License http://creativecommons.org/licenses/by-nc/3.0/), permitting all non-commercial use, distribution, and reproduction inany medium, provided the original work is properly cited. Global Journal of Computer Science and Technology Volume 11 Issue 10 Version 1.0 May 2011 Type: Double Blind Peer Reviewed International Research Journal Publisher: Global Jou...

A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that [F, h] = F for all nonidentity elements h ∈ H. Suppose that a finite group G admits a Frobenius-like group of automorphisms FH of coprime order with [F ′, H] = 1. In case where CG(F ) = 1 we prove that the groups G and CG(H) have the same nilpotent length un...