On the automorphisms of a graph product of abelian groups

نویسندگان

  • Mauricio Gutierrez
  • Adam Piggott
  • Kim Ruane
چکیده

We study the automorphisms of a graph product of finitely-generated abelian groups W . More precisely, we study a natural subgroup Aut W of AutW , with Aut W = AutW whenever vertex groups are finite and in a number of other cases. We prove a number of structure results, including a semi-direct product decomposition Aut W = (InnW ⋊Out W )⋊Aut W . We also give a number of applications, some of which are geometric in nature.

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تاریخ انتشار 2007