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On Clifford's theorem and ramification indices for symplectic modules over a finite field

Published online by Cambridge University Press:  20 January 2009

Robert W. Van Der Waall
Robert W. Van Der Waall
Affiliation:
Mathematisch Instituut, universiteit Van Amsterdam, Roetersstraat 15, 1018 WB Amsterdam, The Netherlands
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Let K be a field, G a finite group. Let V be an (irreducible) KG-module, where KG is the group algebra consisting of all formal sums . The action of on α = ∑aθg on element ν ∈ V obeys the rule 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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 1 , February 1987 , pp. 153 - 167
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

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