In mathematics, a Sastry automorphism, is an automorphism of a field of characteristic 2 satisfying some rather complicated conditions related to the problem of embedding Ree groups of type 2F4 into Chevalley groups of type F4. They were introduced by Sastry (1995), and named and classified by Bombieri (2002) who showed that there are 22 families of Sastry automorphisms, together with 22 exceptional ones over some finite fields of orders up to 210.
References
edit- Bombieri, Enrico (2002), "Sastry automorphisms", Journal of Algebra, 257 (2): 222–243, doi:10.1016/S0021-8693(02)00518-5, ISSN 0021-8693, MR 1947321
- Sastry, N. S. Narasimha (1995), Large uniqueness, up to conjugacy, of the finite Ree and Suzuki simple groups in the defining group of Lie type, Preprint