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Construction of infinite finitely presented nilsemigroup
- Publication Year :
- 2014
-
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<br />Comment: 160 pages, 131 figures, in Russian
- Subjects :
- Mathematics - Group Theory
Subjects
Details
- Language :
- Russian
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1412.5221
- Document Type :
- Working Paper