A Description of Fixed Subgroups of Free Groups

Citation:

Qiang ZHANG.A Description of Fixed Subgroups of Free Groups[J].Chinese Annals of Mathematics B,2016,37(5):713~718
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Authors:

Qiang ZHANG;

Foundation:

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

Classification:

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