87133 20210520140811.0 TESIS-2020-020 eng 51 Blasco García, Rubén Even Artin Groups Zaragoza Universidad de Zaragoza, Prensas de la Universidad 2019 145 Tesis de la Universidad de Zaragoza 2254-7606 2020-20 Presentado: 03 09 2019 Tesis-Univ. Zaragoza, Matemáticas, 2019 Zaragoza, Universidad de Zaragoza 2019 Right-angled Artin groups form an interesting family of groups both from an<br />algebraic and a topological point of view. There are a lot of well-known properties<br />of right-angled Artin groups: for example they are poly-free, locally<br />indicable, right orderable and residually finite. Besides, also many important<br />problems are well understood for these groups such as the word problem, the<br />rigidity problem, Serre's question or the K(pi, 1) conjecture.<br />In this thesis, we will study some of these properties for a bigger and<br />interesting subfamily of Artin groups: even Artin groups. We generalize<br />many of these properties either for even Artin groups in full genarility or for<br />some big and interesting subfamilies.<br />In particular, we prove that even Artin groups of FC type and large even<br />Artin groups are poly-free (which, as we will see, implies that they are also<br />locally indicable and right orderable) and that even Artin groups of FC type<br />and general Artin groups based on trees are residually finite. Finally, we<br />answer Serre's question for the whole family of even Artin groups.<br /> all-rights-reserved <br /> 7078 Programa de Doctorado en Matemáticas y Estadística grupos generalidades geometria algebraica Martínez Pérez, Concepción dir. Cogolludo Agustín, José Ignacio dir. Universidad de Zaragoza Matemáticas 490 tdr@unizar.es http://zaguan.unizar.es/record/87133/files/TESIS-2020-020.pdf Texto completo (eng) 1455475 oai:zaguan.unizar.es:87133 driver tesis Matemáticas TESIS