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Fixed subgroups in free groups: a survey. (English) Zbl 1025.20012
Cleary, Sean (ed.) et al., Combinatorial and geometric group theory. Proceedings of the AMS special session on combinatorial group theory, New York, NY, USA, November 4-5, 2000 and the AMS special session on computational group theory, Hoboken, NJ, USA, April 28-29, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 296, 231-255 (2002).
This is a survey of the known results about fixed subgroups of endomorphisms of finitely generated free groups. Some comments and remarks are presented instead of the proofs themselves. A historic point of view is taken. The paper ends with a list of conjectures and open questions.
For the entire collection see [Zbl 0990.00044].

20E05 Free nonabelian groups
20E36 Automorphisms of infinite groups
20E07 Subgroup theorems; subgroup growth