Boolean packings in Dowling geometries
type: Item
instance of: scholarly article
title: Boolean packings in Dowling geometries
zbMATH Open document ID: 0951.05022
author: Murali K. Srinivasan
published in: European Journal of Combinatorics
publication date: 1999-01-03T00:00:00Z
review text: A Boolean packing of a geometric lattice \(L\) is a partitioning of \(L\) into cover preserving Boolean sublattices such that for each of them the rank of the bottom element is at least the corank of the top element. For \(L\) of rank 3 this amounts to a matching between atoms and coatoms. In the paper under review, it is pointed out that any Boolean packing implies a partition into symmetric chains for the poset of elements of at most half the rank of \(L\). The main contribution is an explicit construction of Boolean packings for Dowling lattices.
reviewed by: Christian Herrmann
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 06C10
Mathematics Subject Classification ID: 05B40
zbMATH DE Number: 1235004
zbMATH Keywords: Boolean packing
zbMATH Keywords: geometric lattice
zbMATH Keywords: Dowling lattices
MaRDI profile type: Publication
full work available at URL: eujc.1998.0230
OpenAlex ID: W2073617291
DOI: 10.1006/EUJC.1998.0230
description: scientific article; zbMATH DE number 1235004