The representation of finite groups in algebraic number fields

Louis SOLOMON

doi:10.2969/jmsj/01320144

Louis SOLOMON

著者情報

ジャーナルフリー

1961 年 13 巻 2 号 p. 144-164

DOI https://doi.org/10.2969/jmsj/01320144

詳細

Published: 1961 Received: 1960/01/07 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) S. D. Berman, The p-adic ring of characters, Doklady Akad. Nauk SSSR, 106 (1956), 583-586 (Russian).
2) R. Brauer, On the representation of a group of order g in the field of the g-th roots of unity, Amer. J. Math., 67 (1945), 461-471 (full references are given here to work before 1945).
3) R. Brauer, Applications of induced characters, Amer. J. Math., 69 (1947), 709-716.
4) R. Brauer, On the algebraic structure of group rings, J. Math. Soc. Japan, 3 (1951), 237-251.
5) R. Brauer, A characterization of the characters of groups of finite order, Ann. of Math., 57 (1953), 357-377.
6) R. Brauer and J. Tate, On the characters of finite groups, Ann. of Math., 62 (1955), 1-7.
7) M. Deuring, Algebren, Berlin, 1935.
8) M. Hall, The Theory of Groups, New York, 1959.
9) P. Roquette, Arithmetische Untersuchung des Charakterringes einer endlichen Gruppe, J. Reine. Angew. Math., 190 (1952), 148-168.
10) I. Schur, Arithmetische Untersuchungen über endliche Gruppen linearer Substitutionen, S.-B. Preuss. Akad. Wiss., (1906) 164-184.
11) E. witt, Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper, J. Reine Angew. Math., 190 (1952), 231-245.

Right : [1] S. D. Berman, The p-adic ring of characters, Doklady Akad. Nauk SSSR, 106 (1956), 583-586 (Russian).
[2] R. Brauer, On the representation of a group of order g in the field of the g-th roots of unity, Amer. J. Math., 67 (1945), 461-471 (full references are given here to work before 1945).
[3] R. Brauer, Applications of induced characters, Amer. J. Math., 69 (1947), 709-716.
[4] R. Brauer, On the algebraic structure of group rings, J. Math. Soc. Japan, 3 (1951), 237-251.
[5] R. Brauer, A characterization of the characters of groups of finite order, Ann. of Math., 57 (1953), 357-377.
[6] R. Brauer and J. Tate, On the characters of finite groups, Ann. of Math., 62 (1955), 1-7.
[7] M. Deuring, Algebren, Berlin, 1935.
[8] M. Hall, The Theory of Groups, New York, 1959.
[9] P. Roquette, Arithmetische Untersuchung des Charakterringes einer endlichen Gruppe, J. Reine. Angew. Math., 190 (1952), 148-168.
[10] I. Schur, Arithmetische Untersuchungen über endliche Gruppen linearer Substitutionen, S.-B. Preuss. Akad. Wiss., (1906) 164-184.
[11] E. witt, Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper, J. Reine Angew. Math., 190 (1952), 231-245.

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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