Sharp characters with irrational values

Dean ALVIS; Sôhei NOZAWA

doi:10.2969/jmsj/04830567

Dean ALVIS, Sôhei NOZAWA

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JOURNAL FREE ACCESS

1996 Volume 48 Issue 3 Pages 567-591

DOI https://doi.org/10.2969/jmsj/04830567

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Published: 1996 Received: April 01, 1993 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Dean ALVIS¹⁾, Sohei NOZAWA²⁾
Right : Dean ALVIS¹⁾, Sôhei NOZAWA²⁾

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) D. Alvis, On finite groups admitting certain sharp characters with irrational values, Comm. Algebra, 21 (1993), 535-554.
2) D. Alvis, M. Kiyota, H. Lenstra and S. Nozawa, Sharp characters with only one rational value, Comm. Algebra, 22 (1994), 95-115.
3) H. F. Blichfeldt, A theorem concerning the invariants of linear homogeneous groups with some applications to substitution-groups, Trans. Amer. Math. Soc., 5 (1904), 461-466.
4) P.J. Cameron and M. Kiyota, Sharp characters of finite groups, J. Algebra, 115 (1988), 125-143.
5) T. Ito and M. Kiyota, Sharp permutation groups, J. Math. Soc. Japan, 33 (1981), 435-444.
6) T. Kataoka, Torsion part of (R(G)/Z_ρG4)^*, preprint.
7) T. Kataoka, Virtual characters of a finite group having prescribed values, preprint.
8) T. Kataoka, On sharp characters of a finite group in the sense of Kiyota-Cameron, preprint.
9) M. Kiyota and S. Nozawa, Sharp characters whose values at non-identity elements are 0 and a family of algebraic conjugates, J. Algebra, 161 (1993), 216-229.

Right : [1] D. Alvis, On finite groups admitting certain sharp characters with irrational values, Comm. Algebra, 21 (1993), 535-554.
[2] D. Alvis, M. Kiyota, H. Lenstra and S. Nozawa, Sharp characters with only one rational value, Comm. Algebra, 22 (1994), 95-115.
[3] H. F. Blichfeldt, A theorem concerning the invariants of linear homogeneous groups with some applications to substitution-groups, Trans. Amer. Math. Soc., 5 (1904), 461-466.
[4] P. J. Cameron and M. Kiyota, Sharp characters of finite groups, J. Algebra, 115 (1988), 125-143.
[5] T. Ito and M. Kiyota, Sharp permutation groups, J. Math. Soc. Japan, 33 (1981), 435-444.
[6] T. Kataoka, Torsion part of (R(G)/Z_ρG4), preprint.
[7] T. Kataoka, Virtual characters of a finite group having prescribed values, preprint.
[8] T. Kataoka, On sharp characters of a finite group in the sense of Kiyota-Cameron, preprint.
[9] M. Kiyota and S. Nozawa, Sharp characters whose values at non-identity elements are 0 and a family of algebraic conjugates, J. Algebra, 161 (1993), 216-229.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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