Submission: 2011, Feb 21
In the present notes we introduce and study the twisted gamma-filtration on Grothendieck's K_0 of a split simple linear algebraic group G over a field k of characteristic prime to the order of the center of G. As an application we provide a uniform low bound for the torsion part of the gamma-ring of some twisted flag varieties.
2010 Mathematics Subject Classification: 20G15, 14C25, 14L30
Keywords and Phrases: adjoint simple linear algebraic group, gamma filtration, Grothendieck group K_0, torsor
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