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Gow, Roderick and Murray, John (2000) Real 2-Regular Classes and 2-Blocks. Journal of Algebra, 230 (2). pp. 455-473. ISSN 0021-8693
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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://mu.eprints-hosting.org/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 |
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