A generalization of Sylow's theorems on finite groups to association schemes
β Scribed by Mitsugu Hirasaka; Mikhail Muzychuk; Paul-Hermann Zieschang
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- French
- Weight
- 87 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let R[:]=R[: 1 , : 2 , ..., : n ] (where : 1 =1) be a real, unitary, finitely generated, commutative, and associative algebra. We consider functions We impose a total order on an algorithmically defined basis B for R[:]. The resulting algebra and ordered basis will be written as (R[:], <). We then
We study the number of homomorphisms from a finite group to a general linear group over a finite field. In particular, we give a generating function of such numbers. Then the Rogers-Ramanujan identities are applicable.
Let F be either an algebraic number field or a p-adic field and A a central simple algebra over F . Suppose A is spanned by a multiplicative semigroup Ξ β A with the property that the minimal polynomial of every g β Ξ splits over F . Then A represents the trivial class in the Brauer group of F .