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arXiv:1403.7736 [math.GT]AbstractReferencesReviewsResources

On genera of Lefschetz fibrations and finitely presented groups

Ryoma Kobayashi

Published 2014-03-30Version 1

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.

Comments: 24 pages, 17 figures
Categories: math.GT
Subjects: 57N13, 57M05
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