Clifford theory for cocentral extensions
β Scribed by Sebastian Burciu
- Book ID
- 107529370
- Publisher
- The Hebrew University Magnes Press
- Year
- 2011
- Tongue
- English
- Weight
- 175 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
When does a G-functor admit a Clifford theory? In this paper we give a simple axiomatic property which characterizes the existence of such a theory. Satisfaction of this condition in the different contexts leads automatically to the satisfaction of the corresponding theorems of Clifford. We apply it
In this paper a Clifford theory for semisimple G-groups is developed, as a particular case of an abstract Clifford theory for G-functors.
We describe in detail the Clifford theory for cyclic quotient groups. We pay particular attention to the field of definition of the characters involved, as well as their Schur indices.