Abstract (EN):
It is shown, for a given graph group G, that the fixed point subgroup Fix phi is finitely generated for every endomorphism phi of G if and only if G is a free product of free abelian groups. The same conditions hold for the subgroup of periodic points. Similar results are obtained for automorphisms if the dependence graph of G is a transitive forest.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
11