References
C. F.Brown, Automorphisms of integral group rings. Ph. D. dissertation, Michigan State University 1971.
J. Cohn andD. Livingstone, On the structure of group algebras, I. Can. J. Math.17, 583–593 (1965).
A. Fröhlich, The Picard group of non-commutative rings, in particular orders. Trans. Amer. Math. Soc.180, 1–46 (1973).
G. Higman, The units of group rings. Proc. London Math. Soc.46, 231–248 (1940).
I. Hughes andC. Wei, Group rings with only trivial units of finite order. Can. J. Math.24, 1137–1138 (1972).
H.Mann, Introduction to Algebraic Number Theory. Columbus 1955.
D. S. Passman, Isomorphic groups and group rings. Pacific J. Math.15, 561–583 (1965).
G.Peterson, Automorphisms of the integral group ring of Sn. Proc. Amer. Math. Soc. (to appear).
G.Peterson, Automorphisms of integral group rings, II (to appear).
S. K. Sehgal, On the isomorphism of integral group rings, I. Can. J. Math.21, 410–413 (1969).
A.Whitcomb, The group ring problem. Ph. D. thesis, University of Chicago 1968.
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This paper is taken from a portion of the author's Ph. D. dissertation, presented to Michigan State University and written under the direction of Professor J. E. Adney, whom the author would like to thank.
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Peterson, G.L. On the automorphism group of an integral group ring, I. Arch. Math 28, 577–583 (1977). https://doi.org/10.1007/BF01223969
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DOI: https://doi.org/10.1007/BF01223969