In representation theory of finite groups, there is a well-known and important conjecture due to M. Broue. He has conjectured that, for any prime p, if a finite Η΅roup G has an abelian Sylow p-subgroup P, then the principal p-blocks of G and Ε½ . the normalizer N P of P in G are derived equivalent. Le
β¦ LIBER β¦
p-Steinberg Characters of Alternating and Projective Special Linear Groups
β Scribed by M.R. Darafsheh
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 157 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
Let G be one of the simple groups A or PSL q where q is the power of a n n prime r. Let p be a prime number dividing the order of G. It is proved that if G has a p-Steinberg character, then G is isomorphic to a semi-simple group of Lie type in characteristic p.
π SIMILAR VOLUMES
The Principal 3-Blocks of Four- and Five
β
Shigeo Koshitani; Hyoue Miyachi
π
Article
π
2000
π
Elsevier Science
π
English
β 163 KB
Quadruple systems of the projective spec
β
M. S. Keranen; D. L. Kreher; P. J.-S. Shiue
π
Article
π
2003
π
John Wiley and Sons
π
English
β 124 KB
## Abstract We determine the distribution of quadruple systems among the orbits of 4βelement subsets under the action of PSL(2,q) on the projective line when __q__ββ‘β1 (mod 4). Β© 2003 Wiley Periodicals, Inc. J Combin Designs 11: 339β351, 2003; Published online in Wiley InterScience (www.interscienc