Author:
Holt Derek F.,Roney-Dougal Colva M.
Abstract
AbstractThe maximal subgroups of the finite classical groups are divided by a theorem of Aschbacher into nine classes. In this paper, the authors show how to construct those maximal subgroups of the finite classical groups of linear, symplectic or unitary type that lie in the first eight of these classes. The ninth class consists roughly of absolutely irreducible groups that are almost simple modulo scalars, other than classical groups over the same field in their natural representation. All of these constructions can be carried out in low-degree polynomial time.
Subject
Computational Theory and Mathematics,General Mathematics
Reference24 articles.
1. 23. Taylor D. E. , ‘Pairs of generators for matrix groups, I’, The Cayley Bulletin 3 (1987) 76–85.
2. Small Degree Representations of Finite Chevalley Groups in Defining Characteristic
3. ‘The maximal factorizations of the finite simple groups and their automorphism groups’;Liebeck;Mem. Amer. Math. Soc.,1990
4. ‘Testing modules for irreducibility’;Holt;J. Austral. Math. Soc. Ser.,1994
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献