The Herzog-Schönheim conjecture for solvable groups

2019/01/29 by Michael C. Burkhart, Burkhart, Michael C.
Mathematics · #05E15 #20D60 #20F16 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1901.10131

openalex publication_date 2019/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Herzog and Schönheim conjectured that any nontrivial partition of a group into cosets must contain two cosets with the same index.

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