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Blocks of defect zero of split (B, N) pairs

✍ Scribed by Forrest Richen


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
308 KB
Volume
21
Category
Article
ISSN
0021-8693

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Suppose that G is a finite group and that F is a field of characteristic p ) 0 which is a splitting field for all subgroups of G. Let e be the sum of the block 0 idempotents of defect zero in FG, and let ⍀ be the set of solutions to g p s 1 in Ε½ q . 2 Ε½ q . 3 G. We show that e s ⍀ , when p is odd, a