Algebraic ranks of the fundamental groups of high dimensional graph manifolds Bull. Korean Math. Soc. 2021 Vol. 58, No. 2, 527-535 https://doi.org/10.4134/BKMS.b200389 Published online December 28, 2020 Printed March 31, 2021 Raeyong Kim Daegu University Abstract : The fundamental group of a high dimensional graph manifold canonically has a graph of groups structure. We analyze the group action on the associated Bass-Serre tree and study the algebraic ranks of the fundamental groups of high dimensional graph manifolds. Keywords : Algebraic rank of a group, high dimensional graph manifolds, graph of groups, Bass-Serre theory MSC numbers : Primary 20F65, 20E08; Secondary 20F67 Supported by : This research was supported by the Daegu University Research Grant, 2016 Downloads: Full-text PDF   Full-text HTML