Quasi-permutation modules over finite groups

Shizuo ENDO; Takehiko MIYATA

doi:10.2969/jmsj/02530397

Shizuo ENDO, Takehiko MIYATA

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1973 Volume 25 Issue 3 Pages 397-421

DOI https://doi.org/10.2969/jmsj/02530397

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Published: 1973 Received: March 27, 1972 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) S.B. Conlon, Monomial representations under integral similarity, J. Algebra, 13 (1969), 496-508.
2) S. Endo and T. Miyata, Invariants of finite abelian groups, J. Math. Soc. Japan, 25 (1973), 7-26.
3) H. Jacobinski, Genera and decompositions of lattices over orders, Acta Math., 121 (1968), 1-29.
4) I. Reiner and S. Ullom, Class groups of integral group rings, Trans. Amer. Math. Soc., 170 (1972), 1-30.Quasi-permutation modules over finite groups 421
5) D.S. Rim, On projective class groups, Trans. Amer. Math. Soc., 98 (1961), 459-467.
6) A.V. Roiter, On integral representations belonging to a genus, Izv. Akad. Nauk SSSR, 30 (1966), 1315-1324.
7) P. Roquette, Realisierung von Darstellungen endlicher nilpotenter Gruppen, Archiv. der Math., 9 (1958), 241-250.
8) M. Rosen, Representations of twisted group rings, Thesis at Princeton Univ., 1963.
9) P. Samuel, Some remarks on Luroth's theorem, Mem. Univ. Kyoto, 27 (1953), 223-224.
10) T. Sumioka, A note on the Grothendieck group of a finite group, to appear in Osaka J. Math.
11) R.G. Swan, Induced representations and projective modules, Ann. of Math., 71 (1960), 552-578.
12) R.G. Swan, The Grothendieck ring of a finite group, Topology, 2 (1963), 85-110.
13) R.G. Swan, Invariant rational functions and a problem of Steenrod, Invent. Math., 7 (1969), 145-158.
14) V.E. Voskresenskii, Birational properties of linear algebraic groups, Izv. Akad. Nauk SSSR, 34 (1970), 3-19.
15) V.E. Voskresenskii, On the question of the structure of the subfield of invariants of a cyclic group of automorphisms of the field Q(x1, …, xn), Izv. Akad. Nauk SSSR, 34 (1970), 366-375.

Right : [1] S. B. Conlon, Monomial representations under integral similarity, J. Algebra, 13 (1969), 496-508.
[2] S. Endo and T. Miyata, Invariants of finite abelian groups, J. Math. Soc. Japan, 25 (1973), 7-26.
[3] H. Jacobinski, Genera and decompositions of lattices over orders, Acta Math., 121 (1968), 1-29.
[4] I. Reiner and S. Ullom, Class groups of integral group rings, Trans. Amer. Math. Soc., 170 (1972), 1-30.
[5] D. S. Rim, On projective class groups, Trans. Amer. Math. Soc., 98 (1961), 459-467.
[6] A. V. Roiter, On integral representations belonging to a genus, Izv. Akad. Nauk SSSR, 30 (1966), 1315-1324.
[7] P. Roquette, Realisierung von Darstellungen endlicher nilpotenter Gruppen, Archiv. der Math., 9 (1958), 241-250.
[8] M. Rosen, Representations of twisted group rings, Thesis at Princeton Univ., 1963.
[9] P. Samuel, Some remarks on Lüroth's theorem, Mem. Univ. Kyoto, 27 (1953), 223-224.
[10] T. Sumioka, A note on the Grothendieck group of a finite group, to appear in Osaka J. Math.
[11] R. G. Swan, Induced representations and projective modules, Ann. of Math., 71 (1960), 552-578.
[12] R. G. Swan, The Grothendieck ring of a finite group, Topology, 2 (1963), 85-110.
[13] R. G. Swan, Invariant rational functions and a problem of Steenrod, Invent. Math., 7 (1969), 145-158.
[14] V. E. Voskresenskii, Birational properties of linear algebraic groups, Izv. Akad. Nauk SSSR, 34 (1970), 3-19.
[15] V. E. Voskresenskii, On the question of the structure of the subfield of invariants of a cyclic group of automorphisms of the field Q(x₁, …, x_n), Izv. Akad. Nauk SSSR, 34 (1970), 366-375.

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

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