On polytopes associated to factorisations of prime-powers

2008/10/14 by Roland Bacher, Bacher, Roland
Engineering · Mathematics · #52B05 #52B11 #52B20 #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems #math.CO #msc:52B05 #msc:52B11 #msc:52B20

paper · pdf · doi:10.48550/arxiv.0810.2371

13 pages

arxiv created 2008/10/14 · openalex publication_date 2008/10/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study polytopes associated to factorisations of prime powers. These polytopes have explicit descriptions either in terms of their vertices or as intersections of closed halfspaces associated to their facets. We give formulae for their f-vectors.

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