Primitive ideals of group algebras of supersoluble groups
โ Scribed by Martin Lorenz
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 553 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0025-5831
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๐ SIMILAR VOLUMES
Let G be a polycyclic-by-finite group such that โฌ G is torsion-free abelian and K a field. Denote by S a multiplicatively closed set of non-zero central elements of w x K G ; if K is an absolute field assume that S contains an element not in K. Our w x main result is when the localization K G is a p
A coherent algebra is F-primitive if each of its non-identity basis matrices is primitive in the sense of Frobenius. We investigate the relationship between the primitivity of a permutation group, the primitivity of its centralizer algebra, and F-primitivity. The results obtained are applied to give