Abelian splittings and JSJ-decompositions of finitely presented Bestvina–Brady groups

References

[1] E. M. Barquinero, L. Ruffoni and K. Ye, Graphical splittings of Artin kernels, J. Group Theory 24 (2021), no. 4, 711–735. 10.1515/jgth-2020-0124Search in Google Scholar

[2] M. Bestvina and N. Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997), no. 3, 445–470. 10.1007/s002220050168Search in Google Scholar

[3] B. H. Bowditch, Cut points and canonical splittings of hyperbolic groups, Acta Math. 180 (1998), no. 2, 145–186. 10.1007/BF02392898Search in Google Scholar

[4] R. Charney, An introduction to right-angled Artin groups, Geom. Dedicata 125 (2007), 141–158. 10.1007/s10711-007-9148-6Search in Google Scholar

[5] M. Clay, When does a right-angled Artin group split over ℤ?, Internat. J. Algebra Comput. 24 (2014), no. 6, 815–825. 10.1142/S0218196714500350Search in Google Scholar

[6] M. Culler and J. W. Morgan, Group actions on 𝐑-trees, Proc. Lond. Math. Soc. (3) 55 (1987), no. 3, 571–604. 10.1112/plms/s3-55.3.571Search in Google Scholar

[7] M. Culler and K. Vogtmann, A group-theoretic criterion for property FA , Proc. Amer. Math. Soc. 124 (1996), no. 3, 677–683. 10.1090/S0002-9939-96-03217-0Search in Google Scholar

[8] P. Dani and A. Thomas, Bowditch’s JSJ tree and the quasi-isometry classification of certain Coxeter groups, J. Topol. 10 (2017), no. 4, 1066–1106. 10.1112/topo.12033Search in Google Scholar

[9] W. Dicks and I. J. Leary, Presentations for subgroups of Artin groups, Proc. Amer. Math. Soc. 127 (1999), no. 2, 343–348. 10.1090/S0002-9939-99-04873-XSearch in Google Scholar

[10] D. Groves and M. Hull, Abelian splittings of right-angled Artin groups, Hyperbolic Geometry and Geometric Group Theory, Adv. Stud. Pure Math. 73, Mathematical Society of Japan, Tokyo (2017), 159–165. 10.2969/aspm/07310159Search in Google Scholar

[11] V. Guirardel and G. Levitt, JSJ Decompositions of Groups, Astérisque 395, Société Mathématique de France, Paris, (2017). Search in Google Scholar

[12] M. Hull, Splittings of right-angled Artin groups, Internat. J. Algebra Comput. 31 (2021), no. 7, 1429–1432. 10.1142/S021819672150051XSearch in Google Scholar

[13] S. Papadima and A. Suciu, Algebraic invariants for Bestvina–Brady groups, J. Lond. Math. Soc. (2) 76 (2007), no. 2, 273–292. 10.1112/jlms/jdm045Search in Google Scholar

[14] J.-P. Serre, Trees, Springer Monogr. Math., Springer, Berlin, 2003. Search in Google Scholar

[15] M. C. B. Zaremsky, Commensurability invariance for abelian splittings of right-angled Artin groups, braid groups and loop braid groups, Algebr. Geom. Topol. 19 (2019), no. 3, 1247–1264. 10.2140/agt.2019.19.1247Search in Google Scholar