CONJUGATION IN TREE AUTOMORPHISM GROUPS Academic Article uri icon

abstract

  • It is given a full description of conjugacy classes in the automorphism group of the locally finite tree and of a rooted tree. They are characterized by their types (a labeled rooted trees) similar to the cyclical types of permutations. We discuss separately the case of a level homogenous tree, i.e. conjugality in wreath products of infinite sequences of symmetric groups. It is proved those automorphism groups of rooted and homogenous non-rooted trees are ambivalent.

published proceedings

  • International Journal of Algebra and Computation

author list (cited authors)

  • GAWRON, P. W., NEKRASHEVYCH, V. V., & SUSHCHANSKY, V. I.

citation count

  • 22

complete list of authors

  • GAWRON, PIOTR W||NEKRASHEVYCH, VOLODYMYR V||SUSHCHANSKY, VITALY I

publication date

  • January 2001