On the Sigma-invariants of even Artin groups of FC-type

Blasco García, Rubén ; Cogolludo Agustín, José Ignacio (Universidad de Zaragoza) ; Martínez Pérez, Conchita (Universidad de Zaragoza)

Resumen: In this paper we study Sigma-invariants of even Artin groups of FC-type, extending some known results for right-angled Artin groups. In particular, we define a condition that we call the strong n-link condition for a graph Gamma and prove that it gives a sufficient condition for a character chi : A(Gamma) -> Z to satisfy chi] is an element of Sigma(n)(A(Gamma), Z). This implies that the kernel A(Gamma)(chi) = ker chi is of type FPn. We prove the homotopical version of this result as well and discuss partial results on the converse. We also provide a general formula for the free part of H-n(A(Gamma)(chi); F) as an Ft(+/- 1)]-module with the natural action induced by chi. This gives a characterization of when H-n(A(Gamma)(chi); F) is a finite dimensional vector space over F.

Idioma: Inglés

DOI: 10.1016/j.jpaa.2021.106984

Año: 2022

Publicado en: JOURNAL OF PURE AND APPLIED ALGEBRA 226, 7 (2022), 106984 [7 pp]
ISSN: 0022-4049

Factor impacto JCR: 0.8 (2022)

Categ. JCR: MATHEMATICS rank: 170 / 329 = 0.517 (2022) - Q3 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 210 / 267 = 0.787 (2022) - Q4 - T3

Factor impacto CITESCORE: 1.6 - Mathematics (Q3)

Factor impacto SCIMAGO: 0.887 - Algebra and Number Theory (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-101179-B
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033

Tipo y forma: Article (Published version)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)
Área (Departamento): Área Algebra (Dpto. Matemáticas)