Statistical Properties of Thompson's Group and Random Pseudo Manifolds

The first part of our work is a statistical and geometric study of properties of Thompson's Group F. We enumerate the number of elements of F which are represented by a reduced pair of n-caret trees, and give asymptotic estimates. We also discuss the effects on word length and number of carets...

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Bibliographic Details
Main Author: Woodruff, Benjamin M.
Format: Others
Published: BYU ScholarsArchive 2005
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/568
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1567&context=etd