Remarks on blocks of defect zero
β Scribed by Geoffrey R Robinson
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 337 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 β be the set of solutions to g p s 1 in Ε½ q . 2 Ε½ q . 3 G. We show that e s β , when p is odd, a
Recently the following theorem in combinatorial group theory has been proved: Let G be a finite abelian group and let A be a sequence of members of G such that |A| |G| +D(G)&1, where D(G) is the Davenport constant of G. Then A contains a subsequence B such that |B|= |G| and b # B b=0. We shall prese
We show that every trivial intersection block of a finite group as introduced by Ε½ . .