Accession Number : AD0719948

Title :   Simple Groups of Order Less than One Million,

Corporate Author : CALIFORNIA INST OF TECH PASADENA

Personal Author(s) : Hall,Marshall , Jr

Report Date : 1971

Pagination or Media Count : 10

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)

Descriptors :   (*GROUPS(MATHEMATICS), *NUMBER THEORY), NUMERICAL ANALYSIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE