000132071 001__ 132071
000132071 005__ 20240301161205.0
000132071 0247_ $$2doi$$a10.1142/S0218196710005558
000132071 0248_ $$2sideral$$a71743
000132071 037__ $$aART-2010-71743
000132071 041__ $$aeng
000132071 100__ $$0(orcid)0000-0002-6559-4722$$aMartín-Morales, J.
000132071 245__ $$aOn the number of irreducible components of the representation variety of a family of one-relator groups
000132071 260__ $$c2010
000132071 5060_ $$aAccess copy available to the general public$$fUnrestricted
000132071 5203_ $$aLet us consider the group G = 〈x, y | xm = yn〉 with m and n nonzero integers. The set R(G) of representations of G over SL(2, ℂ) is a four-dimensional algebraic variety which is an invariant of G. In this paper the number of irreducible components of R(G) together with their dimensions are computed. We also study the set of metabelian representations of this family of groups. Finally, the behavior of the projection t : R(G) → X(G), where X(G) is the character variety of the group, and some combinatorial aspects of R(G) are investigated.
000132071 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2007-67884-C04- 02$$9info:eu-repo/grantAgreement/ES/MICINN MTM2007-67908- C02-01
000132071 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000132071 590__ $$a0.537$$b2010
000132071 591__ $$aMATHEMATICS$$b162 / 278 = 0.583$$c2010$$dQ3$$eT2
000132071 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000132071 700__ $$0(orcid)0000-0002-8191-3199$$aOller-Marcén, A. M.$$uUniversidad de Zaragoza
000132071 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática
000132071 773__ $$g20, 1 (2010), 77-87$$pInt. J. Algebr. Comput.$$tINTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION$$x0218-1967
000132071 8564_ $$s391604$$uhttps://zaguan.unizar.es/record/132071/files/texto_completo.pdf$$yPostprint
000132071 8564_ $$s1374923$$uhttps://zaguan.unizar.es/record/132071/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000132071 909CO $$ooai:zaguan.unizar.es:132071$$particulos$$pdriver
000132071 951__ $$a2024-03-01-14:37:05
000132071 980__ $$aARTICLE