Simple Groups of Order Less than One Million,
Abstract
The first report on this search given at Oxford in the summer of 1967 included the construction of the simple group of order 604,800. Since then no new simple group of order less than one million has been found. It has been shown that for the 55 orders less than one million of the 56 known simple groups (two being of order 20,160), that no further simple groups exist for these orders. All other orders have now been eliminated except for 21 possible orders, listed in section 3 of this paper. These 21 numbers are of the forms (2 sup a).(3 sup b).(5 sup c) and (2 sup a).(3 sup b).(7 sup c). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1971
- Accession Number
- AD0719948
Entities
People
- Marshall Hall Jr.
Organizations
- California Institute of Technology