Equivariant quadratic forms in characteristic 2

2022/02/26 by Gabriele Nebe, Richard Parker, Nebe, Gabriele +1
Chemistry · Mathematics · #11E81 #19G12 #20C20 #Advanced Algebra and Geometry #Carbohydrate Chemistry and Synthesis #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2202.13192

openalex publication_date 2022/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a finite group and K a finite field of characteristic 2. Denote by t the 2-rank of the commutator factor group G/G' and by s the number of self-dual simple KG-modules. Then the Witt group of equivariant quadratic forms \WQ (K,G) is isomorphic to an elementary abelian 2-group of rank s+t.

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