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What is Geometry of Cayley Automatic Groups about?

This paper investigates the geometry of Cayley automatic groups and their distance functions, particularly focusing on how these groups differ from automatic groups. It establishes that for a significant class of non-automatic Cayley automatic groups, the Cayley distance function is bounded below by a linear function, which helps in understanding their geometric properties. The authors also conjecture that every non-automatic Cayley automatic group has a distance function that is either constant or bounded

Author

tlgk2003

Language

EN