English

Orthogonal and Symplectic Black Box Groups, Revisited

Group Theory 2007-05-23 v1 Probability

Abstract

We propose a simple one sided Monte-Carlo algorithm to distinguish, to any given degree of certainty, between certain symplectic and orthogonal groups over fields of odd order. The algorithm does not use an order oracle and works in polynomial time.

Cite

@article{arxiv.math/0110234,
  title  = {Orthogonal and Symplectic Black Box Groups, Revisited},
  author = {Alexandre V. Borovik},
  journal= {arXiv preprint arXiv:math/0110234},
  year   = {2007}
}

Comments

23 pp, LaTeX2e, requires packages amssymb, amsmath

R2 v1 2026-07-22T16:41:07.043Z