An automatic structure for a class of C(7) semi-groups
نویسنده
چکیده
C(7) semi-groups are finitely presented semi-groups were each relation decomposes into at least seven pieces. We give an example showing that, unlike for C(7) groups, the set of geodesics under some generating set is not an automatic structure (furthermore, even just a subset of the geodesics is not an automatic structure). We then show that under further restrictions, which imply embeddability, we can construct an automatic structure for these groups.
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