000123860 001__ 123860 000123860 005__ 20240319081028.0 000123860 0247_ $$2doi$$a10.2140/agt.2022.22.2775 000123860 0248_ $$2sideral$$a132321 000123860 037__ $$aART-2022-132321 000123860 041__ $$aeng 000123860 100__ $$0(orcid)0000-0002-8276-5116$$aArtal Bartolo, Enrique$$uUniversidad de Zaragoza 000123860 245__ $$aModule structure of the homology of right-angled Artin kernels 000123860 260__ $$c2022 000123860 5060_ $$aAccess copy available to the general public$$fUnrestricted 000123860 5203_ $$aWe study the module structure of the homology of Artin kernels, ie kernels of nonresonant characters from right-angled Artin groups onto the integer numbers, where the module structure is with respect to the ring K[t±1] for K a field of characteristic zero. Papadima and Suciu determined some part of this structure by means of the flag complex of the graph of the Artin group. We provide more properties of the torsion part of this module, eg the dimension of each primary part and the maximal size of Jordan forms (if we interpret the torsion structure in terms of a linear map). These properties are stated in terms of homology properties of suitable filtrations of the flag complex and suitable double covers of an associated toric complex. 000123860 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000123860 590__ $$a0.7$$b2022 000123860 592__ $$a0.946$$b2022 000123860 591__ $$aMATHEMATICS$$b203 / 329 = 0.617$$c2022$$dQ3$$eT2 000123860 593__ $$aGeometry and Topology$$c2022$$dQ1 000123860 594__ $$a1.2$$b2022 000123860 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000123860 700__ $$0(orcid)0000-0003-1820-6755$$aCogolludo-Agustín, José Ignacio$$uUniversidad de Zaragoza 000123860 700__ $$aLópez de Medrano, Santiago 000123860 700__ $$aMatei, Daniel 000123860 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000123860 773__ $$g22, 6 (2022), 2775-2803$$pAlgebr. Geom. Topol.$$tAlgebraic and Geometric Topology$$x1472-2739 000123860 8564_ $$s415867$$uhttps://zaguan.unizar.es/record/123860/files/texto_completo.pdf$$yPostprint 000123860 8564_ $$s1199286$$uhttps://zaguan.unizar.es/record/123860/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000123860 909CO $$ooai:zaguan.unizar.es:123860$$particulos$$pdriver 000123860 951__ $$a2024-03-18-16:54:59 000123860 980__ $$aARTICLE