Word length in symmetrized presentations of Thompson's group \(F\)

• Date: 2018
• Main Authors: Horak, Matthew, Johnson, Alexis, Stonesifer, Amelia
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Thompson's group F; dead ends; diagram group; 20F65
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/720
• Journal Title: Algebra and Discrete Mathematics

Thompson's groups \(F, T\) and \(Z\) were introduced by Richard Thompson in the 1960's in connection with questions in logic.  They have since found applications in many areas of mathematics including algebra, logic and topology, and their metric properties with respect to standard generat...