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Item Details
| Title:
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BLACK BOX CLASSICAL GROUPS
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| By: |
W.M. Kantor, Akos Seress |
| Format: |
Paperback |
| List price:
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£61.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821826190 |
| ISBN 13: |
9780821826195 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
11 January, 2001 |
| Series: |
Memoirs of the American Mathematical Society No. 708 |
| Pages: |
168 |
| Description: |
If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism. The proof relies on the geometry of the classical groups rather than on difficult group-theoretic background. |
| Synopsis: |
If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism. The proof relies on the geometry of the classical groups rather than on difficult group-theoretic background. This algorithm has applications to matrix group questions and to nearly linear time algorithms for permutation groups. In particular, we upgrade all known nearly linear time Monte Carlo permutation group algorithms to nearly linear Las Vegas algorithms when the input group has no composition factor isomorphic to an exceptional group of Lie type or a 3-dimensional unitary group. |
| Illustrations: |
references |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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