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Bull. Korean Math. Soc. 2021; 58(2): 527-535

Online first article December 28, 2020      Printed March 31, 2021

https://doi.org/10.4134/BKMS.b200389

Copyright © The Korean Mathematical Society.

Algebraic ranks of the fundamental groups of high dimensional graph manifolds

Raeyong Kim

Daegu University

Abstract

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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

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