Quasi-permutation modules over finite groups, II

Shizuo ENDO; Takehiko MIYATA

doi:10.2969/jmsj/02640698

Shizuo ENDO, Takehiko MIYATA

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1974 Volume 26 Issue 4 Pages 698-713

DOI https://doi.org/10.2969/jmsj/02640698

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Published: 1974 Received: July 17, 1973 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) E. Artin, Questions de la base minimale dans la théorie des nombres algebriques, Centre Nat. Rech. Sci. (Colloq. Int., Paris), 24 (1949), 19-20.
2) H. Bass, Algebraic K-theory, Benjamin, New York, 1968.
3) S. B. Conlon, A basis for monomial algebras, J. Algebra, 20 (1972), 396-414.
4) S. Endo and T. Miyata, Invariants of finite abelian groups, J. Math. Soc. Japan, 25 (1973), 7-26.
5) S. Endo and T. Miyata, Quasi-permutation modules over finite groups, J. Math. Soc. Japan, 25 (1973), 397-421.
6) W. Feit, Characters of finite groups, Benjamin, New York, 1967.
7) A. Fröhlich, Discriminants of algebraic number fields, Math. Z., 74 (1960), 18-28.
8) B. Huppert, Endliche Gruppen, I, Springer, Berlin, 1967.
9) H. Jacobinski, Genera and decompositions of lattices over orders, Acta Math. 121 (1968), 1-29.
10) Z. Janko, A new finite simple group with abelian Sylow 2-subgroups and its characterization, J. Algebra, 3 (1966), 147-186.
11) T. Y. Lam, Induction theorems for Grothendieck groups and Whitehead groups of finite groups, Ann. École Norm. Sup., (4) 1 (1968), 91-148.
12) I. Reiner and S. Ullom, Class groups of integral group rings, Trans. Amer. Math. Soc., 170 (1972), 1-30.
13) J. Ritter, Ein Induktionssatz für rationale Charaktere von nilpotenten Gruppen, J. Reine Angew. Math., 254 (1972), 133-151.
14) M. Rosen, Representations of twisted group rings, Thesis, Princeton Univ., 1963.
15) J.-P. Serre, Représentations linéaires des groupes finis, Deuxième édition, Hermann, Paris, 1971.
16) R. G. Swan, Induced representations and projective modules, Ann. of Math., 71 (1960), 552-578.
17) S. Takahashi, On rational characters of a finite group, Notices Amer. Math. Soc., 12 (1965), 368.
18) S. Williamson, Crossed products and hereditary orders, Nagoya Math. J., 23 (1963), 103-120.

Right : [1] E. Artin, Questions de la base minimale dans la théorie des nombres algebriques, Centre Nat. Rech. Sci. (Colloq. Int., Paris), 24 (1949), 19-20.
[2] H. Bass, Algebraic K-theory, Benjamin, New York, 1968.
[3] S. B. Conlon, A basis for monomial algebras, J. Algebra, 20 (1972), 396-414.
[4] S. Endo and T. Miyata, Invariants of finite abelian groups, J. Math. Soc. Japan, 25 (1973), 7-26.
[5] S. Endo and T. Miyata, Quasi-permutation modules over finite groups, J. Math. Soc. Japan, 25 (1973), 397-421.
[6] W. Feit, Characters of finite groups, Benjamin, New York, 1967.
[7] A. Fröhlich, Discriminants of algebraic number fields, Math. Z., 74 (1960), 18-28.
[8] B. Huppert, Endliche Gruppen, I, Springer, Berlin, 1967.
[9] H. Jacobinski, Genera and decompositions of lattices over orders, Acta Math., 121 (1968), 1-29.
[10] Z. Janko, A new finite simple group with abelian Sylow 2-subgroups and its characterization, J. Algebra, 3 (1966), 147-186.
[11] T. Y. Lam, Induction theorems for Grothendieck groups and Whitehead groups of finite groups, Ann. École Norm. Sup., (4) 1 (1968), 91-148.
[12] I. Reiner and S. Ullom, Class groups of integral group rings, Trans. Amer. Math. Soc., 170 (1972), 1-30.
[13] J. Ritter, Ein Induktionssatz für rationale Charaktere von nilpotenten Gruppen, J. Reine Angew. Math., 254 (1972), 133-151.
[14] M. Rosen, Representations of twisted group rings, Thesis, Princeton Univ., 1963.
[15] J. -P. Serre, Représentations linéaires des groupes finis, Deuxième édition, Hermann, Paris, 1971.
[16] R. G. Swan, Induced representations and projective modules, Ann. of Math., 71 (1960), 552-578.
[17] S. Takahashi, On rational characters of a finite group, Notices Amer. Math. Soc., 12 (1965), 368.
[18] S. Williamson, Crossed products and hereditary orders, Nagoya Math. J., 23 (1963), 103-120.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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