no. 1
Fixed points of endomorphisms of certain free products
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) no. 1, pp. 165-179

The fixed point submonoid of an endomorphism of a free product of a free monoid and cyclic groups is proved to be rational using automata-theoretic techniques. Maslakova's result on the computability of the fixed point subgroup of a free group automorphism is generalized to endomorphisms of free products of a free monoid and a free group which are automorphisms of the maximal subgroup.

DOI : 10.1051/ita/2011125
Classification : 20M05, 20F10
Keywords: endomorphisms, fixed points, free products 
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     title = {Fixed points of endomorphisms of certain free products},
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     pages = {165--179},
     year = {2012},
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Silva, Pedro V. Fixed points of endomorphisms of certain free products. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) no. 1, pp. 165-179. doi: 10.1051/ita/2011125

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