On the Ring of Integers in an Algebraic Number Field as a representation Module of Galois Group
- 1 February 1960
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 16, 83-90
- https://doi.org/10.1017/s0027763000007571
Abstract
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]).Keywords
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