30 citations · 132 across the 31 of their papers we have counts for
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math.GR2012★ 2 cited
Markov semigroups, monoids, and groups
Alan J. Cain, Victor Maltcev
A group is Markov if it admits a prefix-closed regular language of unique representatives with respect to some generating set, and strongly Markov if it admits such a language of u…
math.GR2012★ 10 cited
Context-free rewriting systems and word-hyperbolic structures with uniqueness
Alan J. Cain, Victor Maltcev
This paper proves that any monoid presented by a confluent context-free monadic rewriting system is word-hyperbolic. This result then applied to answer a question asked by Duncan &…