Eisele, F. (2016) Blocks with a generalized quaternion defect group and three simple modules over a 2-adic ring. Journal of Algebra, 456, pp. 294-322. (doi: 10.1016/j.jalgebra.2016.03.010)
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Abstract
We show that two blocks of generalized quaternion defect with three simple modules over a sufficiently large 2-adic ring O are Morita-equivalent if and only if the corresponding blocks over the residue field of O are Morita-equivalent. As a corollary we show that any two blocks defined over O with three simple modules and the same generalized quaternion defect group are derived equivalent.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Eisele, Dr Florian |
| Authors: | Eisele, F. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics |
| Journal Name: | Journal of Algebra |
| Publisher: | Elsevier |
| ISSN: | 0021-8693 |
| ISSN (Online): | 1090-266X |
| Published Online: | 12 May 2016 |
| Copyright Holders: | Copyright © 2016 Elsevier Inc. |
| First Published: | First published in Journal of Algebra 456: 294-322 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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