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Softcover ISBN:  9781470468040 
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Softcover ISBN:  9781470468040 
Product Code:  CONM/783 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470472610 
Product Code:  CONM/783.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470468040 
eBook ISBN:  9781470472610 
Product Code:  CONM/783.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 783; 2023; 153 ppMSC: Primary 20; 22; 53; 68
This volume contains the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held from June 14 to June 18, 2021, and hosted by the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island.
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. It is centered on computing with discrete subgroups of Lie groups, which impacts many different areas of mathematics such as algebra, geometry, topology, and number theory. The workshop aimed to synergize independent strands in the area of computing with discrete subgroups of Lie groups, to facilitate solution of theoretical problems by means of recent advances in computational algebra.
ReadershipGraduate students and research mathematicians interested in computational algebra, geometry, topology, and their applications.

Table of Contents

Articles

David Gabai, Robert Meyerhoff, Nathaniel Thurston and Andrew Yarmola — Enumerating Kleinian Groups

Willem A. de Graaf — Exploring Lie theory with GAP

A. S. Detinko, D. L. Flannery and A. Hulpke — Freeness and $S$arithmeticity of rational Möbius groups

Jane Gilman — Computability Models: Algebraic, Topological and Geometric Algorithms

William M. Goldman — Compact components of planar surface group representations

Alexander Hulpke — Proving infinite index for a subgroup of matrices

Michael Kapovich — Geometric algorithms for discreteness and faithfulness

Michael Kapovich, Alla Detinko and Alex Kontorovich — List of problems on discrete subgroups of Lie groups and their computational aspects

Alice Mark, Julien Paupert and David Polletta — Picard modular groups generated by complex reflections

J. Maxwell Riestenberg — Verifying the Straightandspaced Condition

T. N. Venkataramana — Unipotent Generators for Arithmetic Groups


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This volume contains the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held from June 14 to June 18, 2021, and hosted by the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island.
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. It is centered on computing with discrete subgroups of Lie groups, which impacts many different areas of mathematics such as algebra, geometry, topology, and number theory. The workshop aimed to synergize independent strands in the area of computing with discrete subgroups of Lie groups, to facilitate solution of theoretical problems by means of recent advances in computational algebra.
Graduate students and research mathematicians interested in computational algebra, geometry, topology, and their applications.

Articles

David Gabai, Robert Meyerhoff, Nathaniel Thurston and Andrew Yarmola — Enumerating Kleinian Groups

Willem A. de Graaf — Exploring Lie theory with GAP

A. S. Detinko, D. L. Flannery and A. Hulpke — Freeness and $S$arithmeticity of rational Möbius groups

Jane Gilman — Computability Models: Algebraic, Topological and Geometric Algorithms

William M. Goldman — Compact components of planar surface group representations

Alexander Hulpke — Proving infinite index for a subgroup of matrices

Michael Kapovich — Geometric algorithms for discreteness and faithfulness

Michael Kapovich, Alla Detinko and Alex Kontorovich — List of problems on discrete subgroups of Lie groups and their computational aspects

Alice Mark, Julien Paupert and David Polletta — Picard modular groups generated by complex reflections

J. Maxwell Riestenberg — Verifying the Straightandspaced Condition

T. N. Venkataramana — Unipotent Generators for Arithmetic Groups