Gruppen mit geometrischen Abschnitten im Untergruppenverband (On groups with geometric sections in their lattice of subgroups)
type: Item
instance of: scholarly article
title: Gruppen mit geometrischen Abschnitten im Untergruppenverband (On groups with geometric sections in their lattice of subgroups)
zbMATH Open document ID: 0552.20012
DOI: 10.1007/BF01304193
published in: Monatshefte für Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178218
review text: Our aim is to analyze the influence of geometric properties which are valid in a section of the lattice of subgroups of an (abstract or topological) group on the structure of the group itself and to test thereby the applicability of genuine methods of synthetic geometry for algebraic purposes.
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20D30
Mathematics Subject Classification ID: 06C10
zbMATH DE Number: 3879134
zbMATH Keywords: section of the lattice of subgroups
zbMATH Keywords: synthetic geometry
author: P. Plaumann
author: Karl Strambach
author: G. Zacher
MaRDI profile type: Publication
cites work: Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
cites work: Duality and commutativity of groups
cites work: Q5817043
cites work: \(k\)-transitive permutation groups and \(k\)-planes
cites work: Q4153278
cites work: Inverse Limits of Solvable Groups
cites work: Q3966141
cites work: Q5555031
cites work: Q3956998
cites work: Gruppi finiti debolmente modulari
cites work: Q3743481
cites work: Automorphisms of extra special groups and nonvanishing degree 2 cohomology
cites work: Normalteiler und maximale Untergruppen endlicher Gruppen
cites work: Endliche Gruppen I
cites work: On Certain Linear Congruence Class Geometries
cites work: Endliche Gruppen mit vielen Untergruppen.
cites work: Q5623714
cites work: Q5619247
cites work: Sui gruppi relativamente complementati
cites work: Semimodular compact groups
cites work: Q4064611
cites work: Q5654235
cites work: Q5736170
cites work: Profinite Groups, Arithmetic, and Geometry. (AM-67)
cites work: Modular Subgroup Structure in Infinite Groups
cites work: Finite groups whose subgroup, composition subgroup, or normal subgroup lattice is an ortholattice
cites work: Kongruenzklassengeometrien
cites work: Determination of locally finite groups with duals
cites work: Q5822090
description: scientific article; zbMATH DE number 3879134