Nickerson, Simon Jon (2006). An atlas of characteristic zero representations. University of Birmingham. Ph.D.
|
Nickerson06PhD.pdf
PDF - Accepted Version Download (733kB) |
Abstract
Motivated by the World Wide Web Atlas of Finite Group Representations and the recent classification of low-dimensional representations of quasisimple groups in cross-characteristic fields by Hiss and Malle, we construct with a computer over 650 representations of finite simple groups. Explicit matrices for these representations are available on the Internet and are included on an attached CD-ROM. Our main tool is a GAP program for decomposing permutation modules. It uses reduction modulo various primes and rational reconstruction to give an acceptable performance. In addition, we define standard generators for the groups under consideration, and exhibit black box algorithms for finding standard generators and checking whether given elements of the group are standard generators.
Type of Work: | Thesis (Doctorates > Ph.D.) | ||||||
---|---|---|---|---|---|---|---|
Award Type: | Doctorates > Ph.D. | ||||||
Supervisor(s): |
|
||||||
Licence: | |||||||
College/Faculty: | Schools (1998 to 2008) > School of Mathematics & Statistics | ||||||
School or Department: | School of Mathematics | ||||||
Funders: | Engineering and Physical Sciences Research Council | ||||||
Subjects: | Q Science > QA Mathematics | ||||||
URI: | http://etheses.bham.ac.uk/id/eprint/1463 |
Actions
Request a Correction | |
View Item |
Downloads
Downloads per month over past year