Let G be a finite group, p a rational prime number, and ,ދ R, F a ''sufficiently large'' p-modular system. This includes the requirement that R is a complete discrete valuation ring of characteristic 0, with field of Ž . fractions ,ދ such that F s RrJ R is algebraically closed of characteristic
Dade′s Conjecture for Symmetrical Groups
✍ Scribed by J.B. Olsson; K. Uno
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 976 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
For such a p-chain C we denote m j=0 N G U j by N G C , and by C we denote the length m of C. Moreover, for a given p-block B of G and a non-negative integer d, let Irr N G C B d denote the set of irreducible characters χ of N G C , such that χ belongs to a block of N G C inducing B and such that p
In 3 Dade made a conjecture expressing the number k B, d of characters of a given defect d in a given p-block B of a finite group G in terms of the Ž . corresponding numbers k b, d for blocks b of certain p-local subgroups of G. w x Several different forms of this conjecture are given in 5 . Dade c