Equivariant quadratic forms in characteristic 2

preprint2022arXivOpen access

Abstract

Let GG be a finite group and KK a finite field of characteristic 22. Denote by tt the 22-rank of the commutator factor group G/G′G/G' and by ss the number of self-dual simple KGKG-modules. Then the Witt group of equivariant quadratic forms $\WQ (K,G)$ is isomorphic to an elementary abelian 22-group of rank s+ts+t.

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