Automorphisms of the integral group ring of $S_{n}$
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- by Gary L. Peterson PDF
- Proc. Amer. Math. Soc. 59 (1976), 14-18 Request permission
Abstract:
In this paper it is shown that every normalized automorphism of the integral group ring of ${S_n}$ can be written as a group automorphism followed by conjugation by a unit in the group algebra of ${S_n}$ over the rationals.References
- Hermann Boerner, Representations of groups. With special consideration for the needs of modern physics, Second English edition, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1970. Translated from the German by P. G. Murphy in cooperation with J. Mayer-Kalkschmidt and P. Carr. MR 0272911 C. F. Brown, Automorphisms of integral group rings, Ph. D. Thesis, Michigan State University, 1971. G. L. Peterson, Automorphisms of integral group rings. I Arch. Math. (to appear). —, Automorphisms of integral group rings. II (to appear).
- W. R. Scott, Group theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0167513
- Sudarshan K. Sehgal, On the isomorphism of integral group rings. I, Canadian J. Math. 21 (1969), 410–413. MR 255706, DOI 10.4153/CJM-1969-044-9
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 14-18
- MSC: Primary 20C05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0412259-1
- MathSciNet review: 0412259