Accession Number : AD0660717

Title :   A SEARCH FOR SIMPLE GROUPS OF ORDERS LESS THAN ONE MILLION,

Corporate Author : CALIFORNIA INST OF TECH PASADENA

Personal Author(s) : Hall,Marshall , Jr

Report Date : 1967

Pagination or Media Count : 62

Abstract : In 1900 L. E. Dickson listed 53 known simple groups of composite order less than one million. Three more groups have been added to this list since that time. A group of order 29120 was discovered by M. Suzuki in 1960, the first of an infinite class, and one of order 175,560 was discovered by Z. Janko in 1965 which appears to be isolated. Very recently Z. Janko announced that a simple group with certain properties would have order 604,800 and have a specific character table. The construction of a simple group of order 604,800 is given for the first time in this paper.

Descriptors :   (*GROUPS(MATHEMATICS), NUMBERS), PRIME NUMBERS, PERMUTATIONS, MATHEMATICS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE