On the units of the integral group ring of a dihedral group

Takehiko MIYATA

doi:10.2969/jmsj/03240703

Takehiko MIYATA

著者情報

ジャーナルフリー

1980 年 32 巻 4 号 p. 703-708

DOI https://doi.org/10.2969/jmsj/03240703

詳細

Published: 1980 Received: 1978/11/20 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J.A. Cohn and D. Livingstone, On the structure of group algebras, I, Canad, J. Math., 17 (1965), 583-593.
2) R.K. Dennis, The structure of the unit group of rings, In: Ring Theory II, Marcel. Dekker, 1977.
3) S. Endo and T. Miyata, On the class groups of dihedral groups, (to appear).
4) I. Hughes and K.R. Pearson, The group of units of the integral group ring ZS₃, Canad. Math. Bull., 15 (1972), 529-534.
5) J.M. Masley, Solution of small class number problems for cyclotomic fields, Compositio Math., 33 (1976), 179-186.
6) T. Miyata, A normal integral basis theorem for dihedral groups, (to appear).
7) D.S. Passman, Isomorphic groups and group rings, Pacific J. Math., 15 (1965), 561-583.
8) I. Reiner and S. Ullom, A Mayer-Vietoris sequences for class groups, J. Algebra, 31 (1974), 305-342.
9) A. Fröhlich, I. Reiner and S. Ullom, Class groups and Picard groups of orders, Proc. London Math. Soc., (3) 29 (1974), 405-434.

Right : [1] J. A. Cohn and D. Livingstone, On the structure of group algebras, I, Canad, J. Math., 17 (1965), 583-593.
[2] R. K. Dennis, The structure of the unit group of rings, In: Ring Theory II, Marcel. Dekker, 1977.
[3] S. Endo and T. Miyata, On the class groups of dihedral groups, (to appear).
[4] I. Hughes and K.R. Pearson, The group of units of the integral group ring ZS₃, Canad. Math. Bull., 15 (1972), 529-534.
[5] J. M. Masley, Solution of small class number problems for cyclotomic fields, Compositio Math., 33 (1976), 179-186.
[6] T. Miyata, A normal integral basis theorem for dihedral groups, (to appear).
[7] D. S. Passman, Isomorphic groups and group rings, Pacific J. Math., 15 (1965), 561-583.
[8] I. Reiner and S. Ullom, A Mayer-Vietoris sequences for class groups, J. Algebra, 31 (1974), 305-342.
[9] A. Fröhlich, I. Reiner and S. Ullom, Class groups and Picard groups of orders, Proc. London Math. Soc., (3) 29 (1974), 405-434.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）