Construction of infinite finitely presented nilsemigroup

Ilya Ivanov-Pogodaev; Alexey Kanel-Belov

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arXiv · 1412.5221

Construction of infinite finitely presented nilsemigroup

Ilya Ivanov-Pogodaev·Alexey Kanel-Belov

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Abstract

The paper deals with the solution of Shevrin ans Sapir problem. Infinite finitely presented nilsemigroup is constructed. The construction is based on aperiodic tilings, Goodman-Strauss type theorems on uniformly elliptic space. Space is called {\it uniformly elliptic} iff there is universal constant $\lambda>0$ such that any two points $A$ and $B$ on distant $D$ can be joined by family of geodesic lines generating a disc of wideness $\lambda\cdot D$. Research was supported by the grant RFBR N 14-01-00548

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BibTeX RIS

Ilya Ivanov-Pogodaev, Alexey Kanel-Belov. 2014-12-16. Construction of infinite finitely presented nilsemigroup. https://arxiv.org/abs/1412.5221

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