# Fixed points of endomorphisms of certain free products

RAIRO - Theoretical Informatics and Applications (2012)

- Volume: 46, Issue: 1, page 165-179
- ISSN: 0988-3754

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topSilva, Pedro V.. "Fixed points of endomorphisms of certain free products." RAIRO - Theoretical Informatics and Applications 46.1 (2012): 165-179. <http://eudml.org/doc/221956>.

@article{Silva2012,

abstract = {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.},

author = {Silva, Pedro V.},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Endomorphisms; fixed points; free products; fixed points of endomorphisms; fixed point submonoids; SC monoids; confluent rewriting systems},

language = {eng},

month = {3},

number = {1},

pages = {165-179},

publisher = {EDP Sciences},

title = {Fixed points of endomorphisms of certain free products},

url = {http://eudml.org/doc/221956},

volume = {46},

year = {2012},

}

TY - JOUR

AU - Silva, Pedro V.

TI - Fixed points of endomorphisms of certain free products

JO - RAIRO - Theoretical Informatics and Applications

DA - 2012/3//

PB - EDP Sciences

VL - 46

IS - 1

SP - 165

EP - 179

AB - 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.

LA - eng

KW - Endomorphisms; fixed points; free products; fixed points of endomorphisms; fixed point submonoids; SC monoids; confluent rewriting systems

UR - http://eudml.org/doc/221956

ER -

## References

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