The fundamental group of the complement for Klein's arrangement of twenty-one lines
type: Item
instance of: scholarly article
title: The fundamental group of the complement for Klein's arrangement of twenty-one lines
zbMATH Open document ID: 0693.51006
DOI: 10.1016/0166-8641(90)90079-H
author: Isao Naruki
published in: Topology and its Applications
publication date: 1990-01-01T00:00:00Z
review text: The group PSL(2,7) contains 21 involutions. Associated with these involutions are 21 lines in a representation space. Their union is called Klein's arrangement. The author computes the fundamental group of the complement of Klein's arrangement, i.e. he describes this group by generators and relations.
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 51D20
zbMATH DE Number: 4134930
zbMATH Keywords: unitary reflection group
zbMATH Keywords: line arrangement
zbMATH Keywords: fundamental group
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
cites work: Q5686009
cites work: Product theorem of the fundamental group of a reducible curve
cites work: Q3209735
description: scientific article; zbMATH DE number 4134930