HYPERBOLIC GROUPS AND COMPLETELY SIMPLE SEMIGROUPS

HYPERBOLIC GROUPS AND COMPLETELY SIMPLE SEMIGROUPS
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双曲群和完全单半群

DOI：
10.1142/9789812702616_0007
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发表时间：
2004
期刊：
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影响因子：
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通讯作者：
Mark Kambites
Mark Kambites
中科院分区：
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文献类型：
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作者：
J. Fountain;Mark Kambites

文献摘要

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我们开始简要介绍字双曲群的理论。然后，我们考虑四个可能的条件，可能会被合理地用作定义或部分定义的双曲半群：有双曲凯莱图;有双曲Schutzenberger图;有上下文无关乘法表;或有字双曲极大子群。我们的主要结果是，这些条件符合的情况下，完全单生成的半群。
We begin with a brief introduction to the theory of word hyperbolic groups. We then consider four possible conditions which might reasonably be used as definitions or partial definitions of hyperbolicity in semigroups: having a hyperbolic Cayley graph; having hyperbolic Schutzenberger graphs; having a context-free multiplication table; or having word hyperbolic maximal subgroups. Our main result is that these conditions coincide in the case of finitely generated completely simple semigroups.