2025/07/15 by Henry Harman, Harman, Henry
Mathematics · #20C20 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2507.11469
openalex publication_date 2025/07/15 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/28
Let G be a finite group and k a field of characteristic p > 0. Balmer and Gallauer's recent result on finite p-permutation resolutions of kG-modules motivates the study of an intriguing new invariant; the p-permutation dimension. Following Walsh's success with cyclic groups of prime order, we compute the (global) p-permutation dimension of the Klein 4-group in characteristic p := 2, along with the dimensions for each of its indecomposable modules.