Non-vanishing mod p of derived Hecke algebra of the multiplicative group over number field

2024/10/30 by Dohyeong Kim, Kim, Dohyeong, Jaesung Kwon +1
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2410.22797

openalex publication_date 2024/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. The degree one part of the action is proved to be non-vanishing modulo p under mild assumptions. The main ingredient is the Grunwald--Wang theorem.

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