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On the Ring of Integers in an Algebraic Number Field as a representation Module of Galois Group

Published online by Cambridge University Press:  22 January 2016

Hideo Yokoi
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1. Introduction. It is known that there are only three rationally inequivalent classes of indecomposable integral representations of a cyclic group of prime order l. The representations of these classes are:

  • (I) identical representation,

  • (II) rationally irreducible representation of degree l – 1,

  • (III) indecomposable representation consisting of one identical representation and one rationally irreducible representation of degree l-1 (F. E. Diederichsen [1], I. Reiner [2]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 16 , February 1960 , pp. 83 - 90
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1960

References

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