Constructing Permutation Representations for Large Matrix Groups

@inproceedings{Cooperman1994ConstructingPR,
  title={Constructing Permutation Representations for Large Matrix Groups},
  author={Gene Cooperman and Larry Finkelstein and Bryant W. York and Michael Tselman},
  booktitle={ISSAC},
  year={1994}
}
New techniques, both theoretical and practical, are presented for constructing a permutation representation for a matrix group. We assume that the resulting permutation degree, n, can be 10,000,000 and larger. The key idea is to build the new permutation representation using the conjugation action on a conjugacy class of subgroups of prime order. A unique signature for each group element corresponding to the conjugacy class is used in order to avoid matrix multiplication. The requirement of at… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
10 Extracted Citations
3 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-3 of 3 references

lecture at Northeastern University

  • G. Michler
  • October
  • 1993
Highly Influential
3 Excerpts

The Existence and Uniqueness of Lyons’ Group

  • C. C. Sims
  • Proc. of the Gainseville Conference
  • 1972
Highly Influential
3 Excerpts

Similar Papers

Loading similar papers…