Embedding right-angled Artin groups into Brin-Thompson groups

Autor:	Collin Bleak, Francesco Matucci, James Belk
Přispěvatelé:	Belk, J, Bleak, C, Matucci, F, University of St Andrews. Pure Mathematics, University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra, EPSRC
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Class (set theory) General Mathematics T-NDAS 2010 Mathematics Subject Classification subgroup growth) 20F36 (Braid groups Artin groups) Group Theory (math.GR) 0102 computer and information sciences 20E07 (subgroup theorem Thompson groups Computer Science::Digital Libraries 01 natural sciences Subgroup growth Combinatorics Mathematics::Group Theory FOS: Mathematics 20F65 (Geometric Group Theory) QA Mathematics math.GR 0101 mathematics QA Computer Science::Databases Mathematics 20F65 20F10 37B99 Group (mathematics) 010102 general mathematics Coxeter group Surface (topology) 010201 computation theory & mathematics Embedding Artin group Mathematics - Group Theory
Popis:	We prove that every finitely-generated right-angled Artin group can be embedded into some Brin-Thompson group $nV$. It follows that many other groups can be embedded into some $nV$ (e.g., any finite extension of any of Haglund and Wise's special groups), and that various decision problems involving subgroups of $nV$ are unsolvable. Comment: 7 pages, no figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48584ce1ed773a2070192b5a0e624ba7 http://hdl.handle.net/10281/261885 Zobrazit plný text záznamu