Cutting Sequences and Palindromes
Jane Gilman, Linda Keen
TL;DR
This paper presents a unified geometric framework to analyze primitive elements and palindromes in free groups of rank 2, providing new proofs and insights into their properties.
Contribution
It introduces a geometric approach that simplifies and unifies existing theorems about primitive elements and palindromes in free groups of rank 2.
Findings
New geometric proofs of classical theorems
A unified approach to primitive elements and palindromes
Deeper understanding of free group structures
Abstract
We give a unified geometric approach to some theorems about primitive elements and palindromes in free groups of rank 2. The geometric treatment gives new proofs of the theorems. Dedicated to Bill Harvey on his 65th birthday.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Finite Group Theory Research