Finite flag-transitive \(A_{n-2}.L^*.L\) geometries
type: Item
instance of: scholarly article
title: Finite flag-transitive \(A_{n-2}.L^*.L\) geometries
zbMATH Open document ID: 0852.05031
DOI: 10.1023/A:1022460916899
author: Hans Cuypers
author: Antonio Pasini
published in: Journal of Algebraic Combinatorics
publication date: 1996-11-25T00:00:00Z
review text: Classified are the (locally) finite flag-transitive geometries of rank \(n\geq 4\) belonging to the following diagram \[ (A_{n- 2}.L^*.L) \bullet\diagrbar\bullet\cdots \bullet\diagrbar\bullet\overset{L^*}\diagrbar\bullet\overset{L}\diagrbar\bullet. \] Geometries in the conclusion are truncated projective geometries, truncated affine grassmannians, dual Witt designs for the Mathieu group \(M_{23}\) and truncated dual Witt designs for \(M_{24}\).
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 887236
zbMATH Keywords: diagram geometry
zbMATH Keywords: finite flag-transitive geometries
zbMATH Keywords: projective geometries
zbMATH Keywords: grassmannians
zbMATH Keywords: Witt designs
zbMATH Keywords: Mathieu group
reviewed by: Alexandre A. Makhnev
MaRDI profile type: Publication
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full work available at URL: a:1022460916899
OpenAlex ID: W1573549087
description: scientific article; zbMATH DE number 887236