๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Defect 3 Blocks of Symmetric Group Algebras, I

โœ Scribed by Stuart Martin; Kai Meng Tan

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
176 KB
Volume
237
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 inherit these properties n หœw x from a defect 3 block B of k แ‘ก , with which it forms a 3 : 1 -pair. We also verny 1 ลฝ . ify that the principal blocks of k แ‘ก 3 p F n F 4 p y 1 have these properties.

n

๐Ÿ“œ SIMILAR VOLUMES

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.