Combinatorics of polytopes with a group of linear symmetries of prime power order
type: Item
instance of: scholarly article
title: Combinatorics of polytopes with a group of linear symmetries of prime power order
zbMATH Open document ID: 1045.52003
author: Helena A. Jorge
published in: Discrete \& Computational Geometry
publication date: 2004-02-05T00:00:00Z
review text: The author extends the results of \textit{R. P. Stanley} [Graphs Comb. 3, 55--66 (1987; Zbl 0611.52002)] and \textit{R. M. Adin} [Adv. Math. 115, No. 2, 269--285 (1995; Zbl 0843.52006)] on lower bounds for the \(h\)-vector of rational simplicial \(d\)-polytopes \(P\) to the case that \(P\) is equipped with a proper linear action of a cyclic group \(G\) of prime power order. The action of a group \(G\) on a simplicial complex \(\Delta\) is said to be proper if \(\{S \in \Delta : \forall g \in H (S^g = S)\}\) is a simplicial complex for every subgroup \(H\) of \(G\).
reviewed by: Eike Hertel
Mathematics Subject Classification ID: 52B05
Mathematics Subject Classification ID: 05A20
zbMATH DE Number: 2038452
zbMATH Keywords: \(h\)-vector
zbMATH Keywords: simplicial polytope
MaRDI profile type: Publication
full work available at URL: s00454-003-2867-z
OpenAlex ID: W1999586723
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DOI: 10.1007/S00454-003-2867-Z
description: scientific article; zbMATH DE number 2038452