How powerful are the DDH hard groups?

Periklis A. Papakonstantinou, Charles Rackoff, Yevgeniy Vahlis. How powerful are the DDH hard groups?. Electronic Colloquium on Computational Complexity (ECCC), 19:167, 2012. [doi]

@article{PapakonstantinouRV12,
  title = {How powerful are the DDH hard groups?},
  author = {Periklis A. Papakonstantinou and Charles Rackoff and Yevgeniy Vahlis},
  year = {2012},
  url = {http://eccc.hpi-web.de/report/2012/167},
  researchr = {https://researchr.org/publication/PapakonstantinouRV12},
  cites = {0},
  citedby = {0},
  journal = {Electronic Colloquium on Computational Complexity (ECCC)},
  volume = {19},
  pages = {167},
}