Black Box Classical Groups
| Author/creator | Kantor, W. M., 1944- Author |
| Other author | Seress, Bakos Author |
| Format | Electronic |
| Publication Info | Providence : American Mathematical Society |
| Description | 168 p. ill |
| Supplemental Content | Full text available from Memoirs of the American Mathematical Society - Backfile |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society Ser. 149 |
| Summary | Annotation 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. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 00046914 |
| ISBN | 9780821826195 |
| ISBN | 0821826190 (Trade Paper) Active Record |
| Standard identifier# | 9780821826195 |
| Stock number | 00001436 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |