Reflexões, isometrias e arvores
AUTOR(ES)
Humberto Luiz Talpo
DATA DE PUBLICAÇÃO
2002
RESUMO
We define a reflection in a graph as an involutive automorphism whose set of fixed points is a complete geodesic. Using this concept, we prove that the product of two such reflections is an eliptic isometry if and only if its sets of fixed points has nonempty intersection. Moreover, for the case of a regular tree of valency 4k, we prove that the topological closure of the group generated by reflections has index 2 in the group of automorphisms of the tree. We explore also a possibility to insert this concept of reflection in an axiomatic theory similar to the one developed by Hjelmslev
ASSUNTO(S)
arvores isometria (matematica) automorfismo
