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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 4, Pages 90–92
DOI: https://doi.org/10.4213/faa131 (Mi faa131) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

Reflection Subgroups of Reflection Groups

P. V. Tumarkin, A. A. Felikson

Independent University of Moscow
Full-text PDF (143 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa131
Abstract: Let $G$ be a discrete group generated by reflections in hyperbolic or Euclidean space, and let $H\subset G$ be a finite index reflection subgroup. Suppose that the fundamental chamber of $G$ is a finite volume polytope with $k$ facets. We prove that the fundamental chamber of $H$ has at least $k$ facets.
Keywords: reflection group, Coxeter polytope.
Received: 31.03.2003
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 4, Pages 313–314
DOI: https://doi.org/10.1007/s10688-005-0011-y
Bibliographic databases:
Document Type: Article
UDC: 512.817.72+514.174.5
Language: Russian
Citation: P. V. Tumarkin, A. A. Felikson, “Reflection Subgroups of Reflection Groups”, Funktsional. Anal. i Prilozhen., 38:4 (2004), 90–92; Funct. Anal. Appl., 38:4 (2004), 313–314
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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