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01210nam a2200145Ia 4500 |
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10.2140-agt.2022.22.189 |
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220706s2022 CNT 000 0 und d |
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|a 14722747 (ISSN)
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| 245 |
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|a Nielsen equivalence in Fuchsian groups
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| 260 |
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|b Mathematical Sciences Publishers
|c 2022
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| 856 |
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|z View Fulltext in Publisher
|u https://doi.org/10.2140/agt.2022.22.189
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|a We give a complete classification of minimal generating systems in a very general class of Fuchsian groups G. This class includes for example any G which has at least seven nonconjugate cyclic subgroups of order i ≥ 3. In particular, the well-known problematic cases where G has characteristic exponents i D 2 are not excluded. We classify generating systems up to Nielsen equivalence; this notion is strongly related to Heegaard splittings of 3–manifolds. The results presented here provide in particular the tools for a rather general extension of previous work of the authors and others on the isotopy classification of such splittings in Seifert fibered spaces. © 2022, Mathematical Sciences Publishers. All rights reserved.
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| 700 |
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|a Lustig, M.
|e author
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| 700 |
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|a Moriah, Y.
|e author
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| 773 |
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|t Algebraic and Geometric Topology
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