TL;DR
This paper explores the infinite dihedral group by representing it as an automaton group, providing detailed proofs and foundational results to deepen understanding of its structure.
Contribution
It introduces a detailed automaton group representation of the infinite dihedral group with comprehensive proofs and foundational results.
Findings
Automaton group representation of the infinite dihedral group
Complete proofs of basic properties
Clarification of the group's structure
Abstract
We describe the infinite dihedral group as automaton group. We collect basic results and give full proofs in details for all statements.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematics and Applications · Computability, Logic, AI Algorithms