Invariants of finite abelian groups

Shizuo ENDO; Takehiko MIYATA

doi:10.2969/jmsj/02510007

Shizuo ENDO, Takehiko MIYATA

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ジャーナルフリー

1973 年 25 巻 1 号 p. 7-26

DOI https://doi.org/10.2969/jmsj/02510007

詳細

Published: 1973 Received: 1971/10/21 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) C. Chevalley, On algebraic group varieties, J. Math. Soc. Japan, 6 (1954), 303-324.
2) C. Chevalley, Invariants of finite groups generated by reflexions, Amer. J. Math., 77 (1955), 778-782.
3) C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience, 1962.
4) S. Endo and T. Miyata, Quasi-permutation modules over finite groups, to appear.
5) E. Fisher, Zur Theorie der Endlichen Abelschen Gruppen, Math. Ann., 77 (1915), 81-88.
6) H. Kuniyoshi, On a problem of Chevalley, Nagoya Math. J., 8 (1955), 65-67.
7) K. Masuda, On a problem of Chevalley, Nagoya Math. J., 8 (1955), 59-63.
8) K. Masuda, Applications of the theory of the group of classes of projective modules to the existence problem of independent parameters of invariant, J. Math. Soc. Japan, 20 (1968), 223-232.
9) R. Matsuda, On purely-transcendency of certain fields, Tohoku Math. J., 16 (1964), 189-202.
10) T. Miyata, Invariants of certain groups, Nagoya Math. J., 41 (1971), 69-73.
11) E. Noether, Gleichungen mit vorgeschriebener Gruppe, Math. Ann., 78 (1916), 221-229.
12) T. Ono, On the Tamagawa number of algebraic tori, Ann. of Math., 78 (1963), 47-73.
13) C. G. Reuschle, Tafeln komplexer Primzahlen, welche aus Wurzeln der Einheit gebildet, Berlin, 1875.
14) J. P. Serre, Corps locaux, Hermann, Paris, 1962.
15) R. G. Swan, Invariant rational functions and a problem of Steenrod, Invent. Math., 7 (1969), 148-158.
16) V. E. Voskresenskii, Birational properties of linear algebraic groups, Izv. Akad. Nauk USSR, 34 (1970), 189-202.

Right : [1] C. Chevalley, On algebraic group varieties, J. Math. Soc. Japan, 6 (1954), 303-324.
[2] C. Chevalley, Invariants of finite groups generated by reflexions, Amer. J. Math., 77 (1955), 778-782.
[3] C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience, 1962.
[4] S. Endo and T. Miyata, Quasi-permutation modules over finite groups, to appear.
[5] E. Fisher, Zur Theorie der Endlichen Abelschen Gruppen, Math. Ann., 77 (1915), 81-88.
[6] H. Kuniyoshi, On a problem of Chevalley, Nagoya Math. J., 8 (1955), 65-67.
[7] K. Masuda, On a problem of Chevalley, Nagoya Math. J., 8 (1955), 59-63.
[8] K. Masuda, Applications of the theory of the group of classes of projective modules to the existence problem of independent parameters of invariant, J. Math. Soc. Japan, 20 (1968), 223-232.
[9] R. Matsuda, On purely-transcendency of certain fields, Tôhoku Math. J., 16 (1964), 189-202.
[10] T. Miyata, Invariants of certain groups, Nagoya Math. J., 41 (1971), 69-73.
[11] E. Noether, Gleichungen mit vorgeschriebener Gruppe, Math. Ann., 78 (1916), 221-229.
[12] T. Ono, On the Tamagawa number of algebraic tori, Ann. of Math., 78 (1963), 47-73.
[13] C. G. Reuschle, Tafeln komplexer Primzahlen, welche aus Wurzeln der Einheit gebildet, Berlin, 1875.
[14] J. P. Serre, Corps locaux, Hermann, Paris, 1962.
[15] R. G. Swan, Invariant rational functions and a problem of Steenrod, Invent. Math., 7 (1969), 148-158.
[16] V. E. Voskresenskii, Birational properties of linear algebraic groups, Izv. Akad. Nauk USSR, 34 (1970), 189-202.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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