On a direct sum decomposition of the Dem'yanenko matrix

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Department of Mathematics, Aoyama Gakuin Kotobu, 4-4-25 Shibuya, Shibuya-ku, Tokyo 150, Japan

[D] K. Dohmae, Demjanenko matrix for imaginary abelian fields of odd conductors, Proc. Japan Acad. Ser. A 70 (1994), 292-294.
[G] K. Girstmair, The relative class numbers of imaginary cyclotomic fields of degrees 4, 6, 8 and 10, Math. Comp. 61 (1993), 881-887.
[S-Sch] J. W. Sands and W. Schwarz, A Demjanenko matrix for abelian fields of prime power conductor, J. Number Theory 52 (1995), 85-97.
[T] H. Tsumura, On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields, J. Number Theory, to appear.
[W] L. C. Washington, Introduction to Cyclotomic Fields, Springer, New York, 1982.