79727 20200904084023.0 doi 10.2140/pjm.2018.296.371 sideral 107431 ART-2018-107431 eng (orcid)0000-0001-9147-1745 Martínez-Pérez, Conchita Universidad de Zaragoza Presentations of generalisations of Thompson's Group V 2018 Access copy available to the general public Unrestricted We consider generalisations of Thompson''s group V, denoted by Vr(S), which also include the groups of Higman, Stein and Brin. We showed earlier (Forum Math. 28:5 (2016), 909-921) that under some mild conditions these groups and centralisers of their finite subgroups are of type F8. Under more general conditions we show that the groups Vr(S) are finitely generated and, under the mild conditions mentioned above for which they are of type F8 and hence finitely presented, we give a recipe to find explicit presentations. For the centralisers of finite subgroups we find a suitable infinite presentation and then show how to apply a general procedure to shorten this presentation. In the appendix, we give a proof of this general shortening procedure. info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2015-67781-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.576 2018 MATHEMATICS 224 / 313 = 0.716 2018 Q3 T3 1.03 2018 Mathematics (miscellaneous) 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Matucci, Francesco Nucinkis, Brita 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 296, 2 (2018), 371-403 Pac. j. math. PACIFIC JOURNAL OF MATHEMATICS 0030-8730 321699 http://zaguan.unizar.es/record/79727/files/texto_completo.pdf Versión publicada 68364 http://zaguan.unizar.es/record/79727/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:79727 articulos driver 2020-09-04-08:37:03 ARTICLE