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A supercharacter analog of vanishing-off subgroups and generalized Camina pair

2025/10/04 by Fahim Sayed, Sayed, Fahim
Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2510.03945

openalex publication_date 2025/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Vanishing-off subgroups, generalized Camina pair and other related subgroups have played a significant role in the study of group structure. The primary goal of this paper is to study their analogs in the setting of supercharacter theory. We establish several properties of these subgroups which includes connections with supercharacter theory products.

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