Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections
type: Item
instance of: scholarly article
title: Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections
zbMATH Open document ID: 0592.51008
DOI: 10.1007/BF01091738
author: V. F. Ignatenko
published in: Journal of Soviet Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The present paper continues the author's work ''Geometry of algebraic surfaces with symmetries'' in J. Sov. Math. 17, 1688-1722 (1981); translation from Itogi Nauki Tekh., Ser. Probl. Geom. 11, 203-240 (1980; Zbl 0473.51013). A survey of results on the problem of obtaining the basic invariants of reflection groups of the regular and semi-regular polytopes, and some author's results are given in the first two parts. In the third part some questions of the application of diameter theory of algebraic surfaces for the invariants of infinite groups \(G_ m\), generated by skew reflections are treated.
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 14L24
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 14L40
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 51F25
zbMATH DE Number: 3951427
zbMATH Keywords: bibliography
zbMATH Keywords: orthogonal reflections
zbMATH Keywords: regular polyhedra
zbMATH Keywords: Gosset
zbMATH Keywords: polyhedra
zbMATH Keywords: survey
zbMATH Keywords: basic invariants of reflection groups
zbMATH Keywords: diameter theory of algebraic surfaces
zbMATH Keywords: skew reflections
reviewed by: Grozio Stanilov
MaRDI profile type: Publication
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