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