000079727 001__ 79727 000079727 005__ 20200904084023.0 000079727 0247_ $$2doi$$a10.2140/pjm.2018.296.371 000079727 0248_ $$2sideral$$a107431 000079727 037__ $$aART-2018-107431 000079727 041__ $$aeng 000079727 100__ $$0(orcid)0000-0001-9147-1745$$aMartínez-Pérez, Conchita$$uUniversidad de Zaragoza 000079727 245__ $$aPresentations of generalisations of Thompson's Group V 000079727 260__ $$c2018 000079727 5060_ $$aAccess copy available to the general public$$fUnrestricted 000079727 5203_ $$aWe 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. 000079727 536__ $$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2015-67781-P 000079727 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000079727 590__ $$a0.576$$b2018 000079727 591__ $$aMATHEMATICS$$b224 / 313 = 0.716$$c2018$$dQ3$$eT3 000079727 592__ $$a1.03$$b2018 000079727 593__ $$aMathematics (miscellaneous)$$c2018$$dQ1 000079727 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000079727 700__ $$aMatucci, Francesco 000079727 700__ $$aNucinkis, Brita 000079727 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000079727 773__ $$g296, 2 (2018), 371-403$$pPac. j. math.$$tPACIFIC JOURNAL OF MATHEMATICS$$x0030-8730 000079727 8564_ $$s321699$$uhttps://zaguan.unizar.es/record/79727/files/texto_completo.pdf$$yVersión publicada 000079727 8564_ $$s68364$$uhttps://zaguan.unizar.es/record/79727/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000079727 909CO $$ooai:zaguan.unizar.es:79727$$particulos$$pdriver 000079727 951__ $$a2020-09-04-08:37:03 000079727 980__ $$aARTICLE