Share and Export
Share and Export
Murray, John, Breuer, Thomas, Hethelyi, Laszlo, Horvath, Erzsebet and Kulshammer, Burkhard (2006) Cartan Invariants and Central Ideals of Group Algebras. Journal of Algebra, 296. pp. 177-196.
![[thumbnail of cartan_groups.pdf]](https://mural.maynoothuniversity.ie/style/images/fileicons/application_pdf.png "cartan_groups.pdf")
PDF
cartan_groups.pdf
Download (176kB)
Abstract
Abstract. In this paper we investigate general properties of Cartan invariants of a finite
group G in characteristic 2. One of our results shows that the Cartan matrix of G in
characteristic 2 contains an odd diagonal entry if and only if G contains a real element of
2-defect zero. We also apply these results to 2-blocks of symmetric groups and to blocks
with normal or abelian defect groups. The second part of the paper deals with annihilators
of certain ideals in centers of group algebras and blocks.
| Item Type: | Article |
|---|---|
| Keywords: | Cartan; invariants; Group Algebras; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 971 |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 23 Sep 2008 |
| Journal or Publication Title: | Journal of Algebra |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/971 |
| 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
