Ventura, E. 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]. Reviewer: V.A.Roman’kov (Omsk) Cited in 2 ReviewsCited in 13 Documents MSC: 20E05 Free nonabelian groups 20E36 Automorphisms of infinite groups 20E07 Subgroup theorems; subgroup growth Keywords:free groups; fixed subgroups; endomorphisms; automorphisms PDFBibTeX XMLCite \textit{E. Ventura}, Contemp. Math. 296, 231--255 (2002; Zbl 1025.20012)