000095306 001__ 95306
000095306 005__ 20200909132415.0
000095306 0247_ $$2doi$$a10.1016/j.jalgebra.2015.11.045
000095306 0248_ $$2sideral$$a118963
000095306 037__ $$aART-2016-118963
000095306 041__ $$aeng
000095306 100__ $$aAramayona, Javier
000095306 245__ $$aOn the first cohomology of automorphism groups of graph groups
000095306 260__ $$c2016
000095306 5060_ $$aAccess copy available to the general public$$fUnrestricted
000095306 5203_ $$aWe study the (virtual) indicability of the automorphism group Aut(AΓ) of the right-angled Artin group AΓ associated to a simplicial graph Γ. First, we identify two conditions -- denoted (B1) and (B2) -- on Γ which together imply that H1(G,Z)=0 for certain finite-index subgroups G<Aut(AΓ). On the other hand we will show that (B2) is equivalent to the matrix group H=Im(Aut(AΓ)→Aut(H1(AΓ)))<GL(n,Z) not being virtually indicable, and also to H having Kazhdan's property (T). As a consequence, Aut(AΓ) virtually surjects onto Z whenever Γ does not satisfy (B2). In addition, we give an extra property of Γ ensuring that Aut(AΓ) and Out(AΓ) virtually surject onto Z. Finally, in the appendix we offer some remarks on the linearity problem for Aut(AΓ).
000095306 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2010-19938-C03-03
000095306 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000095306 590__ $$a0.61$$b2016
000095306 591__ $$aMATHEMATICS$$b168 / 310 = 0.542$$c2016$$dQ3$$eT2
000095306 592__ $$a1.266$$b2016
000095306 593__ $$aAlgebra and Number Theory$$c2016$$dQ1
000095306 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000095306 700__ $$0(orcid)0000-0001-9147-1745$$aMartínez Pérez, Concepción María$$uUniversidad de Zaragoza
000095306 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra
000095306 773__ $$g452 (2016), 17-41$$pJ. algebra$$tJOURNAL OF ALGEBRA$$x0021-8693
000095306 8564_ $$s355080$$uhttps://zaguan.unizar.es/record/95306/files/texto_completo.pdf$$yPostprint
000095306 8564_ $$s347240$$uhttps://zaguan.unizar.es/record/95306/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000095306 909CO $$ooai:zaguan.unizar.es:95306$$particulos$$pdriver
000095306 951__ $$a2020-09-09-10:45:33
000095306 980__ $$aARTICLE