Clifford classes for isoclinic groups
โ Scribed by Alexandre Turull
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 107 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In [A. Turull, J. Algebra 235 (2001), 275-314], we calculated the Schur index of each of the irreducible characters of the finite special linear groups. In the present paper, we calculate the Schur index of all the irreducible characters of some overgroups of the special linear groups. The overgroup
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.
Given a finite group G, a normal subgroup N of G and an irreducible character ฯ of G, the Clifford class of ฯ describes the Clifford theory including Schur indices of ฯ with respect to the normal subgroup N. Assume there is a subgroup U of N and a linear character ฮธ of U with multiplicity 1 in the r