123860 20240319081028.0 doi 10.2140/agt.2022.22.2775 sideral 132321 ART-2022-132321 eng Artal Bartolo, Enrique Universidad de Zaragoza (orcid)0000-0002-8276-5116 Module structure of the homology of right-angled Artin kernels 2022 Access copy available to the general public Unrestricted We 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. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.7 2022 MATHEMATICS 203 / 329 = 0.617 2022 Q3 T2 0.946 2022 Geometry and Topology 2022 Q1 1.2 2022 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Cogolludo-Agustín, José Ignacio Universidad de Zaragoza (orcid)0000-0003-1820-6755 López de Medrano, Santiago Matei, Daniel 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 22, 6 (2022), 2775-2803 Algebr. Geom. Topol. Algebraic and Geometric Topology 1472-2739 415867 http://zaguan.unizar.es/record/123860/files/texto_completo.pdf Postprint 1199286 http://zaguan.unizar.es/record/123860/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:123860 articulos driver 2024-03-18-16:54:59 ARTICLE