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A geometric invariant of a finite group

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arxiv 0903.3148 v1 pith:TIMHV5A6 submitted 2009-03-18 math.AG

Torsten Ekedahl This is my paper · ORCID
classification math.AG
keywords groupclassexamplesfinitetrivialalgebraicclassifyingcounterexamples
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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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  1. McKay correspondence for linearly reductive finite group schemes in positive characteristic

    math.AG 2026-08 accept novelty 7.0 of 10

    Crepant resolutions of quotients by finite linearly reductive group schemes in any characteristic have Euler number equal to the number of irreducible representations of the group.

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