000132066 001__ 132066
000132066 005__ 20240301161205.0
000132066 0247_ $$2doi$$a10.1016/j.topol.2009.06.011
000132066 0248_ $$2sideral$$a65529
000132066 037__ $$aART-2009-65529
000132066 041__ $$aeng
000132066 100__ $$0(orcid)0000-0002-6559-4722$$aMartin-Morales, J.$$uUniversidad de Zaragoza
000132066 245__ $$aCombinatorial Aspects of the Character Variety of a Family of One-Relator Groups
000132066 260__ $$c2009
000132066 5060_ $$aAccess copy available to the general public$$fUnrestricted
000132066 5203_ $$aLet us consider the group G = hx, y | x m = y ni with m and n nonzero integers. In this paper, we study the character variety X(G) in SL(2, C) of the group G, obtaining by elementary methods an explicit primary decomposition of the ideal corresponding to X(G) in the coordinates X = tx, Y = ty and Z = txy. As an easy consequence, a formula for computing the number of irreducible components of X(G) as a function of m and n is given. Finally we
provide a combinatorial description of X(G) and we prove that in most cases it is possible to recover (m, n) from the combinatorial structure of X(G).
000132066 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2007-67884-C04- 02$$9info:eu-repo/grantAgreement/ES/MICINN MTM2007-67908- C02-01
000132066 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000132066 590__ $$a0.441$$b2009
000132066 591__ $$aMATHEMATICS$$b191 / 255 = 0.749$$c2009$$dQ3$$eT3
000132066 591__ $$aMATHEMATICS, APPLIED$$b177 / 204 = 0.868$$c2009$$dQ4$$eT3
000132066 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000132066 700__ $$0(orcid)0000-0002-8191-3199$$aOller-Marcen,A. M.$$uUniversidad de Zaragoza
000132066 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000132066 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática
000132066 773__ $$g156, 14 (2009), 2376-2389$$pTopol. its appl.$$tTOPOLOGY AND ITS APPLICATIONS$$x0166-8641
000132066 8564_ $$s292926$$uhttps://zaguan.unizar.es/record/132066/files/texto_completo.pdf$$yPostprint
000132066 8564_ $$s1905962$$uhttps://zaguan.unizar.es/record/132066/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000132066 909CO $$ooai:zaguan.unizar.es:132066$$particulos$$pdriver
000132066 951__ $$a2024-03-01-14:36:44
000132066 980__ $$aARTICLE