Morita equivalence classes of blocks with elementary abelian defect groups of order 32
| Autor: | Cesare Giulio Ardito |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Modular representation theory Group Theory (math.GR) 20C20 (Primary) 16D90 20C05 (Secondary) 01 natural sciences Discrete valuation ring Residue field 0103 physical sciences FOS: Mathematics Representation Theory (math.RT) 0101 mathematics Algebraically closed field Abelian group Morita equivalence Mathematics Donovan's conjecture Algebra and Number Theory Conjecture 010102 general mathematics Order (ring theory) Block theory Finite groups 010307 mathematical physics Mathematics - Group Theory Mathematics - Representation Theory |
| Zdroj: | Ardito, C G 2021, ' Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ', Journal of Algebra, vol. 573, pp. 297-335 . https://doi.org/10.1016/j.jalgebra.2020.12.036 |
| DOI: | 10.1016/j.jalgebra.2020.12.036 |
| Popis: | We describe a general technique to classify blocks of finite groups, and we apply it to determine Morita equivalence classes of blocks with elementary abelian defect groups of order 32 with respect to a complete discrete valuation ring with an algebraically closed residue field of characteristic two. As a consequence we verify that a conjecture of Harada holds on these blocks. 32 pages. Removed Prop. 5.4 due to an incomplete proof (the result will appear in a subsequent paper) |
| Databáze: | OpenAIRE |
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