Word Hyperbolic Semigroups

Details Word Hyperbolic Semigroups Word Hyperbolic Semigroups

2002-04-30

arxiv.org/abs/math/0204353v1

Mathematics

Group Theory

12 pages

Scientific paper

The study of word hyperbolic groups is a prominent topic in geometric group theory; however word hyperbolic groups are defined by a geometric condition which does not extend naturally to semigroups. We propose a linguistic definition. Roughly speaking a semigroup is word hyperbolic if its multiplication table is a context free language. For groups this definition is equivalent to the original geometric one. We also briefly consider word problems of semigroups.

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