Description

Book Synopsis
Presents the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held in June 2021. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties.

Table of Contents
  • D. Gabai, R. Meyerhoff, N. Thurston, and A. Yarmola, Enumerating Kleinian groups
  • W. A. de Graaf, Exploring Lie theory with GAP
  • A. S. Detinko, D. L. Flannery, and A. Hulpke, Freeness and $S$-arithmeticity of rational Mobius groups
  • J. Gilman, Computability models: Algebraic, topological and geometric algorithms
  • W. M. Goldman, Compact components of planar surface group representations
  • A. Hulpke, Proving infinite index for a subgroup of matrices
  • M. Kapovich, Geometric algorithms for discreteness and faithfulness
  • M. Kapovich, A. Detinko, and A. Kontorovich, List of problems on discrete subgroups of Lie groups and their computational aspects
  • A. Mark, J. Paupert, and D. Polletta, Picard modular groups generated by complex reflections
  • J. M. Riestenberg, Verifying the straight-and-spaced condition
  • T. N. Venkataramana, Unipotent generators for arithmetic groups

Computational Aspects of Discrete Subgroups of

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    A Paperback by Alla Detinko, Michael Kapovich, Alex Kontorovich

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      Book details

      Publisher American Mathematical Society
      Published 5/31/2023 12:00:00 AM
      ISBN-13 9781470468040
      978-1470468040
      ISBN-10 1470468042
      Also in:
      Algebraic topology Applied mathematics

      Description

      Book Synopsis
      Presents the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held in June 2021. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties.

      Table of Contents
      • D. Gabai, R. Meyerhoff, N. Thurston, and A. Yarmola, Enumerating Kleinian groups
      • W. A. de Graaf, Exploring Lie theory with GAP
      • A. S. Detinko, D. L. Flannery, and A. Hulpke, Freeness and $S$-arithmeticity of rational Mobius groups
      • J. Gilman, Computability models: Algebraic, topological and geometric algorithms
      • W. M. Goldman, Compact components of planar surface group representations
      • A. Hulpke, Proving infinite index for a subgroup of matrices
      • M. Kapovich, Geometric algorithms for discreteness and faithfulness
      • M. Kapovich, A. Detinko, and A. Kontorovich, List of problems on discrete subgroups of Lie groups and their computational aspects
      • A. Mark, J. Paupert, and D. Polletta, Picard modular groups generated by complex reflections
      • J. M. Riestenberg, Verifying the straight-and-spaced condition
      • T. N. Venkataramana, Unipotent generators for arithmetic groups

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