Abstract
Any block with defect group P of a finite group G with Sylow-p-subgroup S has dimension at least |S|(2)/|P|; we show that a block which attains this bound is nilpotent, answering a question of G. R. Robinson.
Original language | English |
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Pages (from-to) | 311-314 |
Number of pages | 4 |
Journal | Archiv der Mathematik |
Volume | 89 |
Issue number | 4 |
DOIs | |
Publication status | Published - Oct 2007 |
Keywords
- finite group
- nilpotent block
- source algebras