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Defect 3 Blocks of Symmetric Group Algebras

โœ Scribed by Stuart Martin; Lee Russell

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
272 KB
Volume
213
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Defect 3 Blocks of Symmetric Group Algeb
Defect 3 Blocks of Symmetric Group Algebras, I
โœ Stuart Martin; Kai Meng Tan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

In this paper, we study if the following properties are present in defect 3 blocks ลฝ . of symmetric group algebras k แ‘ก , where k has characteristic p G 5 : n ลฝ . 1 the Ext-quiver is bipartite; ลฝ . 2 the p.i.m.'s have a common Loewy length 7. We obtain a criteria for a defect 3 block B of k แ‘ก to inhe

On Young Modules of Defect 2 Blocks of S
On Young Modules of Defect 2 Blocks of Symmetric Group Algebras
โœ Joseph Chuang; Kai Meng Tan ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

In this paper, we obtain the ordinary characters and module structures of the Young modules of defect 2 blocks of symmetric group algebras. We also study how these modules induce and restrict in a 2 1 -pair.

On Equivalences between Blocks of Group
On Equivalences between Blocks of Group Algebras: Reduction to the Simple Components
โœ Andrei Marcus ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 317 KB

A conjecture of Michel Broue states that if D is an abelian Sylow p-subgroup of ยดลฝ . a finite group G, and H s N D , then the principal blocks of G and H are G Rickard equivalent. The structure of groups with abelian Sylow p-subgroups, as determined by P. Fong and M. E. Harris, raises the following