English

Compressed word problems in HNN-extensions and amalgamated products

Group Theory 2008-11-21 v1

Abstract

It is shown that the compressed word problem for an HNN-extension with base group H and finite associated subgroups is polynomial time Turing-reducible to the compressed word problem for H. An analogous result for amalgamated free products is shown as well.

Keywords

Cite

@article{arxiv.0811.3303,
  title  = {Compressed word problems in HNN-extensions and amalgamated products},
  author = {Niko Haubold and Markus Lohrey},
  journal= {arXiv preprint arXiv:0811.3303},
  year   = {2008}
}
R2 v1 2026-06-21T11:43:36.892Z