Share and Export
Share and Export
Gow, Roderick and Murray, John (2000) Real 2-Regular Classes and 2-Blocks. Journal of Algebra, 230 (2). pp. 455-473. ISSN 0021-8693
![[thumbnail of JM_real.pdf]](https://mural.maynoothuniversity.ie/style/images/fileicons/application_pdf.png "JM_real.pdf")
PDF
JM_real.pdf
Download (231kB)
Abstract
Suppose that G is a finite group. We show that every 2-block of G has a defect
class which is real. As a partial converse, we show that if G has a real 2-regular
class with defect group D and if NŽD.D has no dihedral subgroup of order 8,
then G has a real 2-block with defect group D. More generally, we show that every
2-block of G which is weakly regular relative to some normal subgroup N has a
defect class which is real and contained in N. We give several applications of these
results and also investigate some consequences of the existence of non-real
2-blocks.
| Item Type: | Article |
|---|---|
| Keywords: | Real 2-Regular Classes; 2-Blocks; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2036 |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 06 Jul 2010 14:52 |
| Journal or Publication Title: | Journal of Algebra |
| Publisher: | Elsevier |
| Refereed: | No |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2036 |
| 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
