Blocks with a generalized quaternion defect group and three simple modules over a 2-adic ring
Eisele, F. 
ORCID: 0000-0001-8267-2094 (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
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.
| Publication Type: | Article |
|---|---|
| Additional Information: | © Elsevier 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Publisher Keywords: | Modular representation theory, Orders, Integral representations, Tame blocks |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
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