Share and Export
Share and Export
Murray, John (1999) Blocks of Defect Zero and Products of Elements of Order p. Journal of Algebra, 214 (2). pp. 385-399. ISSN 0021-8693
![[thumbnail of JM_omega.pdf]](https://mural.maynoothuniversity.ie/style/images/fileicons/application_pdf.png "JM_omega.pdf")
PDF
JM_omega.pdf
Download (212kB)
Abstract
Suppose that G is a finite group and that F is a field of characteristic p)0
which is a splitting field for all subgroups of G. Let e0 be the sum of the block
idempotents of defect zero in FG, and let V be the set of solutions to g ps1 in
G. We show that e0sVq. 2, when p is odd, and e0sVq. 3, when ps2. In the
latter case Vq. 2sRq, where R is the set of real elements of 2-defect zero. So
e0sVqRqsRq. 2. We also show that e0sVqVq4sVq4 . 2, when ps2, where
V4 is the set of solutions to g 4s1. These results give us various criteria for the
existence of p-blocks of defect zero.
| Item Type: | Article |
|---|---|
| Keywords: | Defect Zero; Products of Elements; Order p; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2037 |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 06 Jul 2010 14:53 |
| Journal or Publication Title: | Journal of Algebra |
| Publisher: | Elsevier |
| Refereed: | No |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2037 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
Repository Staff Only (login required)
- Item control page
Downloads
Downloads per month over past year
