Direct sum decomposition of geometries based on maximal subgroups
type: Item
instance of: scholarly article
title: Direct sum decomposition of geometries based on maximal subgroups
zbMATH Open document ID: 1060.51009
author: Claude O. Archer
published in: Journal of Geometry
publication date: 2004-09-22T00:00:00Z
review text: In the theory of incidence geometries due to Tits and Buekenhout, geometries are based on groups and collections of subgroups. The author is concerned with the case where all the subgroups used are maximal (so that the group acts primitively on elements of each type). He studies the decomposition of geometries into direct sums; in particular, he determines the full direct sum decomposition if the underlying group is a finite solvable group.
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 2101771
zbMATH Keywords: incidence geometry
zbMATH Keywords: maximal subgroup
zbMATH Keywords: solvable group
zbMATH Keywords: direct sum
reviewed by: Dieter Jungnickel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2101771