Trees, homology, and automorphism groups of right-angled Artin groups

Aramayona, J. ; Fernández, J.L. ; Fernández, P. ; Martínez-Pérez, C. (Universidad de Zaragoza)

Resumen: We study the homology of an explicit finite-index subgroup of the automorphism group of a partially commutative group, in the case when its defining graph is a tree. More concretely, we give a lower bound on the first Betti number of this subgroup, based on the number and degree of a certain type of vertices, which we call deep. We then use combinatorial methods to analyze the average value of this Betti number, in terms of the size of the defining tree.

Idioma: Inglés

DOI: 10.1007/s10801-018-0854-y

Año: 2019

Publicado en: JOURNAL OF ALGEBRAIC COMBINATORICS 50, 3 (2019), 293-315
ISSN: 0925-9899

Originalmente disponible en: Texto completo de la revista

Factor impacto JCR: 0.805 (2019)

Categ. JCR: MATHEMATICS rank: 159 / 324 = 0.491 (2019) - Q2 - T2

Factor impacto SCIMAGO: 0.763 - Discrete Mathematics and Combinatorics (Q2) - Algebra and Number Theory (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/European Regional Development Funds
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67781

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Algebra (Dpto. Matemáticas)