From small-overlap conditions to automatic semi-groups
نویسنده
چکیده
We study the connection between small-overlap conditions and automaticity of semi-groups. We restrict the discussion to conditions that imply embeddability and under which each relation decomposes into at least seven pieces. For these hyperbolic-like conditions we show how to construct an automatic structure. Furthermore, we show that the naive approach of considering just geodesics fails in our case.
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تاریخ انتشار 2009