On polytopes associated to factorisations of prime-powers
Roland Bacher (IF)
TL;DR
This paper investigates polytopes linked to the factorization of prime powers, providing explicit vertex and facet descriptions along with formulas for their f-vectors.
Contribution
It introduces explicit descriptions and formulas for polytopes related to prime power factorizations, advancing understanding of their combinatorial structure.
Findings
Explicit vertex and facet descriptions of the polytopes
Formulas for the f-vectors of these polytopes
Enhanced understanding of their combinatorial properties
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 vectors.
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Taxonomy
TopicsAdvanced Topics in Algebra · Finite Group Theory Research · graph theory and CDMA systems