Beating the Generator-Enumeration Bound for Solvable-Group Isomorphism

@article{Rosenbaum2020BeatingTG,
  title={Beating the Generator-Enumeration Bound for Solvable-Group Isomorphism},
  author={David J. Rosenbaum},
  journal={ACM Transactions on Computation Theory (TOCT)},
  year={2020},
  volume={12},
  pages={1 - 18}
}
  • David J. Rosenbaum
  • Published 2020
  • Mathematics, Computer Science
  • ACM Transactions on Computation Theory (TOCT)
We consider the isomorphism problem for groups specified by their multiplication tables. Until recently, the best published bound for the worst-case was achieved by the nlogp n + O(1) generator-enumeration algorithm where n is the order of the group and p is the smallest prime divisor of n. In previous work with Fabian Wagner, we showed an n(1 / 2) logp n + O(log n / log log n) -time algorithm for testing isomorphism of p-groups by building graphs with degree bounded by p + O(1) that represent… Expand
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