A geometric invariant of a finite group

Details A geometric invariant of a finite group A geometric invariant of a finite group

2009-03-18

arxiv.org/abs/0903.3148v1

Mathematics

Algebraic Geometry

23 pages

Scientific paper

We study the class of the classifying stack of a finite group in a
Grothendieck group of algebraic stacks introduced previously. We show that this
class is trivial in a number of examples most notably for all symmetric groups.
We also give some examples where it is not trivial. The latter uses
counterexamples of Saltman and Swan to the problem of Noether.

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