An Application of the Amalgam Method: The 2-Local Structure ofN-Groups of Characteristic 2 Type
โ Scribed by Bernd Stellmacher
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 645 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
In 9 Thompson classified the finite simple groups H satisfying: ลฝ . N Every p-local subgroup of H is solvable, for every prime p.
๐ SIMILAR VOLUMES
S where S = /p n \* T is of symplectic type with T an extraspecial p-group and O p G solvable. From results in [3] it is easy to show that when p is odd, the Quillen complex of G at p is Cohen-Macaulay. In this note we show that the result also holds when p = 2.
We verify the inductive form of Dade's conjecture for the finite simple groups 2 G 2 3 2m+1 , where m is a positive integer, for the prime p = 3. Together with work by J. An (1994, Indian J. Math. 36, 7-27) this completes the verification of the conjecture for this series of groups.