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A description of fixed subgroups of free groups

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Abstract

Let F be a finitely generated free group. Martino and Ventura gave an explicit description for the fixed subgroups of automorphisms of F. The author generalizes their results to injective endomorphisms.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China

    Qiang Zhang

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  1. Qiang Zhang
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Correspondence to Qiang Zhang.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11201364).

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Zhang, Q. A description of fixed subgroups of free groups. Chin. Ann. Math. Ser. B 37, 713–718 (2016). https://doi.org/10.1007/s11401-016-1004-2

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  • DOI: https://doi.org/10.1007/s11401-016-1004-2

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