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000084320 0247_ $$2doi$$a10.1007/s10801-018-0854-y
000084320 0248_ $$2sideral$$a109558
000084320 037__ $$aART-2019-109558
000084320 041__ $$aeng
000084320 100__ $$aAramayona, J.
000084320 245__ $$aTrees, homology, and automorphism groups of right-angled Artin groups
000084320 260__ $$c2019
000084320 5060_ $$aAccess copy available to the general public$$fUnrestricted
000084320 5203_ $$aWe 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.
000084320 536__ $$9info:eu-repo/grantAgreement/ES/DGA/European Regional Development Funds$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67781
000084320 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000084320 590__ $$a0.805$$b2019
000084320 591__ $$aMATHEMATICS$$b159 / 324 = 0.491$$c2019$$dQ2$$eT2
000084320 592__ $$a0.763$$b2019
000084320 593__ $$aDiscrete Mathematics and Combinatorics$$c2019$$dQ2
000084320 593__ $$aAlgebra and Number Theory$$c2019$$dQ2
000084320 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000084320 700__ $$aFernández, J.L.
000084320 700__ $$aFernández, P.
000084320 700__ $$0(orcid)0000-0001-9147-1745$$aMartínez-Pérez, C.$$uUniversidad de Zaragoza
000084320 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra
000084320 773__ $$g50, 3 (2019), 293-315$$pJ. algebr. comb.$$tJOURNAL OF ALGEBRAIC COMBINATORICS$$x0925-9899
000084320 8564_ $$s624721$$uhttps://zaguan.unizar.es/record/84320/files/texto_completo.pdf$$yPostprint
000084320 8564_ $$s6781$$uhttps://zaguan.unizar.es/record/84320/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000084320 85641 $$uhttps://link.springer.com/article/10.1007%2Fs10801-018-0854-y (online 2018)$$zTexto completo de la revista
000084320 909CO $$ooai:zaguan.unizar.es:84320$$particulos$$pdriver
000084320 951__ $$a2020-09-09-10:49:51
000084320 980__ $$aARTICLE