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- Publisher
- Wiley
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms/25.5.431
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we show how to construct 4370 × 4370 matrices over GF(2), generating Fischer's {3,4}‐ transposition group B, popularly known as the Baby Monster. This for the first time gives a construction which permits effective calculations to be performed in this very large simple group. We use this to give a new existence proof, and describe briefly applications to subgroup structure, geometry, 2‐modular characters, and genus actions
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Sep 1, 1993