Конечность числа арифметических групп, порожденных отражениями, в пространствах Лобачевского

Article Properties
Refrences
Title Journal Journal Categories Citations Publication Date
Arithmetic Fuchsian groups of genus zero Pure and Applied Mathematics Quarterly
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2006
О классификации арифметических групп, порожденных отражениями, в пространствах Лобачевского 1981
Отсутствие кристаллографических групп отражений в пространствах Лобачевского большой размерности Функциональный анализ и его приложения 1981
Об арифметических группах, порожденных отражениями, в пространствах Лобачевского 1980
The absence of crystallographic groups of reflections in Lobachevsky spaces of large dimension 1985
Citations
Title Journal Journal Categories Citations Publication Date
FROM GEOMETRY TO ARITHMETIC OF COMPACT HYPERBOLIC COXETER POLYTOPES Transformation Groups
  • Science: Mathematics
 2 2022
Classification of $(1{,}{\kern1pt}2)$-reflective anisotropic hyperbolic lattices of rank $4$ Izvestiya: Mathematics
  • Science: Mathematics
 2019
Classification of (1,2)-reflective anisotropic hyperbolic lattices of rank 4

 Известия Российской академии наук. Серия математическая 1 2019
Vinberg’s Algorithm for Hyperbolic Lattices Mathematical Notes
  • Science: Mathematics
 2018
Vinberg's Algorithm for Hyperbolic Lattices Matematicheskie Zametki 5 2018
Citations Analysis
Category Category Repetition
Science: Mathematics5
The category Science: Mathematics 5 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Hyperbolic reflection groups associated to the quadratic forms $${-3x_0^2 + x_1^2 + \cdots + x_n^2}$$ and was published in 2010. The most recent citation comes from a 2022 study titled FROM GEOMETRY TO ARITHMETIC OF COMPACT HYPERBOLIC COXETER POLYTOPES. This article reached its peak citation in 2019, with 2 citations. It has been cited in 7 different journals. Among related journals, the Izvestiya: Mathematics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year