Generalized Small Cancellation Presentations for Automatic Groups
classification
🧮 math.GR
keywords
groupsbiautomaticcancellationpresentationssmallautomaticcasecollection
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By a result of Gersten and Short finite presentations satisfying the usual non-metric small cancellation conditions present biautomatic groups. We show that in the case in which all pieces have length one, a generalization of the C(3)-T(6) condition yields a larger collection of biautomatic groups.
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