Compressed Word Problems in HNN-Extensions and Amalgamated Products

  • Niko Haubold
  • Markus Lohrey
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5675)

Abstract

It is shown that the compressed word problem for an HNN-extension 〈H, t |t− 1at = ϕ(a) (a ∈ A) 〉 with A finite is polynomial time Turing-reducible to the compressed word problem for the base group H. An analogous result for amalgamated free products is shown as well.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Niko Haubold
    • 1
  • Markus Lohrey
    • 1
  1. 1.Institut für InformatikUniversität LeipzigGermany

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