Accession Number:

AD0736220

Title:

Groups Generated by a Class of Elements of Order 3,

Descriptive Note:

Corporate Author:

CALIFORNIA INST OF TECH PASADENA DEPT OF MATHEMATICS

Report Date:

1970-01-01

Pagination or Media Count:

41.0

Abstract:

The Conway group which is the group of automorphisms of the 24 dimensional Leech lattice is generated by a class of elements of order 3 with the property that any two of them either commute or generate SL23, SL25 or the alternating groups A4, A5 which are isomorphic to SL23 and SL25 modulo a center of order 2. Such a class of order 3 is also a special case of John Thompsons Quadratic pairs for the prime 3. The paper is restricted to elements of order 3 in which any two either commute, generate A4 or SL23. It is possible to describe these groups completely. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE