On diagram groups over Fibonacci-like semigroup presentations and their generalizations

Autor:	Guba, Victor
Rok vydání:	2019
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	We answer the question by Matt Brin on the structure of diagram groups over semigroup presentation ${\mathcal P}=\langle a,b,c\mid a=bc,b=ca,c=ab\rangle$. In the talk on Oberwolfach workshop, Brin conjectured that the diagram group over $\mathcal P$ with base $a$ is isomorphic to the generalized Thompson's group $F_9$. We confirm this conjecture and consider some generalizations of this fact. Comment: arXiv admin note: text overlap with arXiv:math/0211396
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.01877 Zobrazit plný text záznamu View this record from Arxiv