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April 2016 On genera of Lefschetz fibrations and finitely presented groups
Ryoma Kobayashi
Osaka J. Math. 53(2): 351-376 (April 2016).

Abstract

It is known that every finitely presented group is the fundamental group of the total space of a Lefschetz fibration. In this paper, we give another proof which improves the result of Korkmaz. In addition, Korkmaz defined the genus of a finitely presented group. We also evaluate upper bounds for genera of some finitely presented groups.

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Ryoma Kobayashi. "On genera of Lefschetz fibrations and finitely presented groups." Osaka J. Math. 53 (2) 351 - 376, April 2016.

Information

Published: April 2016
First available in Project Euclid: 27 April 2016

zbMATH: 1343.57010
MathSciNet: MR3492803

Subjects:
Primary: 57N13
Secondary: 57M05

Rights: Copyright © 2016 Osaka University and Osaka City University, Departments of Mathematics

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Vol.53 • No. 2 • April 2016
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