Finite almost simple implies 3-generated
Definition
Suppose is a finite Almost simple group (?). Then, the Minimum size of generating set (?) for is at most .
Related facts
- Finite minimal simple implies 2-generated
- Finite simple implies 2-generated
- Every finite group is generated by a solvable subgroup and one element
- Solvability is 2-local for finite groups
References
Journal references
- Generation of almost simple groups by Francesca Dalla Volta and Andrea Lucchini, Journal of Algebra, ISSN 00218693, Volume 178,Number 1, Page 194 - 223(Year 1995): Official copyMore info