Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nielsen Equivalence in Fuchsian groups   In this paper 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 non-conjugate cyclic subgroups of order greater
than 2. In particular, the well known problematic cases where G has
characteristic exponents equal to 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 of this paper 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.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat