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On genera of Lefschetz fibrations and finitely presented groups

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.

preprint2014arXivOpen access
Ryoma Kobayashi
math.GT
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Ryoma Kobayashi

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