IA-automorphisms of groups with almost constant upper central series

@inproceedings{Bonanome2013IAautomorphismsOG,
  title={IA-automorphisms of groups with almost constant upper central series},
  author={Marianna Bonanome and Margaret H. Dean and Marcos Zyman},
  year={2013}
}
Let G be any group for which there is a least j such that Zj = Zj+1 in the upper central series. Define the group of j-central automorphisms as the kernel of the natural homomorphism from Aut(G) to Aut (G/Zj). We offer sufficient conditions for IA(G) to have a useful direct product structure, and apply our results to certain finitely generated center-by-metabelian groups. 

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