Computing the projective indecomposable modules of large finite groups.
- List Price:
- Buy New: $62.10
as of 7/10/2014 11:24 EDT details
- You Save: $6.90 (10%)
- Languages:English (Unknown), English (Original Language), English (Published)
- Number Of Items:1
- Shipping Weight (lbs):0.6
- Dimensions (in):0.3 x 7.9 x 9.8
- Publication Date:September 11, 2011
Let G be a finite group and F be a finite field. A projective indecomposable F G-module is an indecomposable direct summand of the group algebra F G. Computing the projective indecomposable modules of large finite groups has been always a challenging problem due to the large sizes of the representations of these groups. This dissertation describes a new algorithm for constructing the projective indecomposable modules of large finite groups. This algorithm uses the condensation techniques as described in . The power of the algorithm will be illustrated by the examples of the socle series of all projective indecomposable modules of the sporadic simple Mathieu group M24 and the simple alternating group A12 in characteristic 2.
CERTAIN CONTENT THAT APPEARS ON THIS SITE COMES FROM AMAZON SERVICES LLC. THIS CONTENT IS PROVIDED ‘AS IS’ AND IS SUBJECT TO CHANGE OR REMOVAL AT ANY TIME.