# Compressed Conjugacy and the Word Problem for Outer Automorphism Groups of Graph Groups

@inproceedings{Haubold2010CompressedCA, title={Compressed Conjugacy and the Word Problem for Outer Automorphism Groups of Graph Groups}, author={Niko Haubold and Markus Lohrey and Christian Mathissen}, booktitle={Developments in Language Theory}, year={2010} }

It is shown that for graph groups (right-angled Artin groups) the conjugacy problem as well as a restricted version of the simultaneous conjugacy problem can be solved in polynomial time even if input words are represented in a compressed form. As a consequence it follows that the word problem for the outer automorphism group of a graph group can be solved in polynomial time.

## 2 Citations

Compressed Decision Problems for Graph Products and Applications to (outer) Automorphism Groups

- MathematicsInt. J. Algebra Comput.
- 2012

It is shown that the compressed word problem of a graph product of finitely generated groups is polynomial time Turing-reducible to the compressed word problems of the vertex groups. A direct…

Algorithmics on SLP-compressed strings: A survey

- Computer ScienceGroups Complex. Cryptol.
- 2012

Results on algorithmic problems on strings that are given in a compressed form via straight-line programs are surveyed and applications in combinatorial group theory and computational topology and to the solution of word equations are discussed.

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