TY - JOUR

T1 - Construction of infinite finitely presented nilsemigroup

AU - Ivanov-Pogodayev, I.

AU - Belov, A.

PY - 2014

Y1 - 2014

N2 - 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 λ>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 λ⋅D.
Research was supported by the grant RFBR N 14-01-00548

AB - 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 λ>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 λ⋅D.
Research was supported by the grant RFBR N 14-01-00548

UR - http://arxiv.org/abs/1412.5221

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JO - arXiv.org > math > arXiv:1412.5221

JF - arXiv.org > math > arXiv:1412.5221

ER -