Implementation of a solution to the conjugacy problem in Thompson's group F-Reference-Cited by-同舟云学术

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Implementation of a solution to the conjugacy problem in Thompson's group F

Published:2014-01-28 Issue:3/4 Volume:47 Page:120-121
ISSN:1932-2240
Container-title:ACM Communications in Computer Algebra
language:en
Short-container-title:ACM Commun. Comput. Algebra

Author:

Belk James¹,Hossain Nabil¹,Matucci Francesco²,McGrail Robert¹

Affiliation:

1. Bard College, Annandale-on-Hudson, NY, USA

2. Université Paris-Sud 11, Bâtiment 425, Bureau 21, F-91405 Orsay Cedex, France

Abstract

We present an efficient implementation of the solution to the conjugacy problem in Thompson's group F. This algorithm checks for conjugacy by constructing and comparing directed graphs called strand diagrams. We provide a description of our solution algorithm, including the data structure that represents strand diagrams and supports simplifications.

Publisher

Association for Computing Machinery (ACM)

Link

https://dl.acm.org/doi/pdf/10.1145/2576802.2576823

Reference5 articles.

1. Introductory notes on Richard Thompson's groups;Canon J. W.;Enseignement Mathématique,1996

2. Linear time algorithm for isomorphism of planar graphs (Preliminary Report)

3. Unsolvability of the conjugacy problem in the theory of groups;Novikov P. S.;Izv. Akad. Nauk SSSR. Ser. Mat,1954

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Generation Problem in Thompson Group;Memoirs of the American Mathematical Society;2023-12

2. Conjugator length in Thompson's groups;Bulletin of the London Mathematical Society;2022-12-10

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