9 citations · 61 across the 34 of their papers we have counts for
7 papers · 1 filter
On periodic points of free inverse monoid endomorphisms
Emanuele Rodaro, Pedro V. Silva
It is proved that the periodic point submonoid of a free inverse monoid endomorphism is always finitely generated. Using Chomsky's hierarchy of languages, we prove that the fixed p…
Bounding the gap between a free group (outer) automorphism and its inverse
Manuel Ladra, Pedro V. Silva, Enric Ventura
For any finitely generated group , two complexity functions and are defined to measure the maximal possible gap between the norm of an automorphism (respectively out…
Fixed points of endomorphisms of trace monoids
Pedro V. Silva, Emanuele Rodaro
It is proved that the fixed point submonoid and the periodic point submonoid of a trace monoid endomorphism are always finitely generated. Considering the Foata normal form metric…
Matroids, hereditary collections and simplicial complexes having boolean representations
John Rhodes, Pedro V. Silva
Inspired by the work of Izakhian and Rhodes, a theory of representation of hereditary collections by boolean matrices is developed. This corresponds to representation by finite $\v…
Fixed points of endomorphisms of graph groups
Emanuele Rodaro, Pedro V. Silva, Mihalis Sykiotis
It is shown, for a given graph group , that the fixed point subgroup Fix is finitely generated for every endomorphism of if and only if is a free product of fre…
Fixed points of endomorphisms of virtually free groups
Pedro V. Silva
A fixed point theorem is proved for inverse transducers, leading to an automata-theoretic proof of the fixed point subgroup of an endomorphism of a finitely generated virtually fre…