The Ekedahl Invariants for finite groups

Abstract

In 2009 Ekedahl introduced certain cohomological invariants of finite groups which are naturally related to the Noether Problem. We show that these invariants are trivial for every finite group in GL_3(k) and for the fifth discrete Heisenberg group H_5. Moreover in the case of finite linear groups with abelian projective reduction, these invariants satisfy a recurrence relation in a certain Grothendieck group for abelian groups.

to appear in Journal of Pure and Applied Algebra; 20 pages, one figure, two tables

References in corpus (3)

• The Grothendieck group of algebraic stacks
• A geometric invariant of a finite group
• The Ekedahl Invariants for finite groups

Cited by in corpus (6)

• The Ekedahl Invariants for finite groups
• Finite Groups Generated in Low Real Codimension
• Set of independencies and Tutte polynomial of matroids over a domain
• On the motivic class of an algebraic group
• On the Mixed Tate property and the motivic class of the classifying stack of a finite group
• Motivic classes of classifying stacks of finite groups and unramified cohomology