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On the determination of the ramification index in Clifford's theorem
Published online by Cambridge University Press: 13 July 2011
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Let K be a field, G a finite group, V a (right) KG-module. If H is a subgroup of G, then, restricting the action of G on V to H, V is also a KH-module. Notation: VH.
Suppose N is a normal subgroup of G. The KN-module VN is not irreducible in general, even when V is irreducible as KG-module. A part of the well-known theorem of A. H. Clifford [1, V.17.3] yields the following.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 3 , October 1988 , pp. 469 - 474
- Copyright
- Copyright © Edinburgh Mathematical Society 1988
References
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