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Murray, John (2008) Components of the Involution Module in Blocks with Cyclic or Klein-Four Defect Group. Journal of Group Theory, 1 (11). pp. 43-62. ISSN 1433-5883
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Abstract
Each p-block of a nite group has an associated defect group, which is a p-subgroup of the group. Each real 2-block has, in addition, an associated extended defect group, which is is a 2-subgroup of the group that contains a defect group as a subgroup of index 2. We consider the possible extended defect groups of a real 2-block that has a cyclic or a Klein-four defect group. In each case we describe the modules in the block that are components in the permutation module of the group acting by conjugation on its involutions. We also determine the Frobenius-Schur indicators of the irreducible characters in the block.
| Item Type: | Article |
|---|---|
| Keywords: | Frobenius-Schur indicator, p-permutation module, involutions, cyclic defect, Klein-four defect |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1994 |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 16 Jun 2010 15:56 |
| Journal or Publication Title: | Journal of Group Theory |
| Publisher: | de Gruyter |
| Refereed: | Yes |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1994 |
| 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 |
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