Geodesic
Dehn functions and complexes of groups
Glasgow mathematical journal, Tome 40 (1998) no. 1, pp. 33-46

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We study the Dehn functions of the fundamental groups of complexes of groups. We study a function known as the Howie function, which has a natural geometric formulation. We make use of the Howie function to obtain an upper bound for the Dehn function of the complex of groups. And we show a connection between the Howie function and actions on complexes. 
Brick, Stephen G.; Corson, Jon M. Dehn functions and complexes of groups. Glasgow mathematical journal, Tome 40 (1998) no. 1, pp. 33-46. doi: 10.1017/S001708950003233X
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[1] 1.Brick, S. G., On Dehn functions and products of groups, Trans. Amer. Math. Soc. 335 (1993), 369–384. Google Scholar | DOI

[2] 2.Corson, J. M., Groups acting on complexes and complexes of groups in Geometric group theory (Charney, , Davis, and Shapiro, , eds.), (Walter de Gruyter & Co., Berlin, New York, 1995), 79–97. Google Scholar | DOI

[3] 3.Corson, J. M., Howie Diagrams and complexes of groups, Comm. Algebra 23 (1995), 5221–5242. Google Scholar | DOI

[4] 4.Corson, J. M. and Spieler, B. S., The QSF property and group actions via complexes of spaces, preprint. Google Scholar

[5] 5.Gromov, M., Hyperbolic groups in Essays in group theory (Gersten, S. M., eds.), (Springer-Verlag, 1987), 75–264. Google Scholar | DOI

[6] 6.Lyndon, R. C. and Schupp, P. E., Combinatorial group theory (Springer-Verlag, 1977). Google Scholar

[7] 7.Serre, J.-P., Trees (Springer-Verlag, 1980). Google Scholar | DOI

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