Accession Number:

AD0702480

Title:

THE MULTIPLIERS OF THE SIMPLE GROUPS OF ORDER 604,800 AND 50,232,960,

Descriptive Note:

Corporate Author:

CALIFORNIA INST OF TECH PASADENA

Personal Author(s):

Report Date:

1969-01-01

Pagination or Media Count:

18.0

Abstract:

The groups of the title were first characterized by Janko in terms of the centralizer of a central involution. If there are two classes of involutions, the group is the Hall-Janko group of order 604,800 2 to the 7th power x 3 cubed x 5 squared x 7. It was first constructed by M. Hall, Jr. and we denote it by J sub 2. Otherwise there is only one class of involutions and the group is of order 50,232,960 2 to the 7th power x 3 to the 5th power x 5 x 17 x 19. This group was first constructed by G. Higman and J. McKay. We denote it by J sub 3. The main result is that the multiplier of J sub 2 has order 2 and that of J sub 3 has order 3. A consequence is that J sub 3 has a projective complex representation of degree 18. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE