Word Hyperbolic Semigroups
群论
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0204353,
title = {Word Hyperbolic Semigroups},
author = {Andrew Duncan and Robert H. Gilman},
journal= {arXiv preprint arXiv:math/0204353},
year = {2007}
}
备注
12 pages