A description of fixed subgroups of free groups

Qiang Zhang

Chinese Annals of Mathematics, Series B ›› 2016, Vol. 37 ›› Issue (5) : 713 -718.

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Chinese Annals of Mathematics, Series B ›› 2016, Vol. 37 ›› Issue (5) : 713 -718. DOI: 10.1007/s11401-016-1004-2
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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.

Keywords

Fixed subgroups / Injective endomorphisms / Free groups / Ranks

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Qiang Zhang. A description of fixed subgroups of free groups. Chinese Annals of Mathematics, Series B, 2016, 37(5): 713-718 DOI:10.1007/s11401-016-1004-2

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