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References
Auslander, M.-O. Goldman: Maximal orders. Trans.Am.Math.Soc. 97 (1960), 1–24.
Bäckström, K.J.: Orders with finitely many indecomposable lattices. Ph.D.Thesis 1972, Göteborg.
Brauer, R.: Investigations on group characters. Ann. of Math. 42 (1941), 936–958.
Brumer, A.: Structure of hereditary orders. Bull.Am.Math.Soc. 69 (1963), 721–729.
Dade, E.C.: Blocks with cyclic defect groups. Ann.of Math. 84 (1966), 20–48.
Dennis, R.K.: The structure of the unit group of group rings. Proc.Conf.Ring Theory, Oklahoma 1976. Marcel Dekker.
Dlab, V.-C.M.Ringel: Indecomposable represenstations of graphs and algebras. Memoirs of the AMS No.173 (1976).
Gluck, D.H.: A character table bound for the Schur index. (1979) to appear.
Green, J.A.: Walking around the Brauertree. J.of the Australian Math.Soc. XVII (1974), 197–213.
Harada, M.: Structure of hereditary orders over local rings. J.of Mathematics, Osaka City Univ.14 (1963), 1–22.
Higman, G.: The units of group rings. Proc.London Math.Soc. (2), 46 (1940), 231–248.
Hughes, I.-K.R. Pearson: The group of units of the integral group ring ℤ S3. Can.Math.Bull. 15 (1972), 529–534.
Jacobinski, H.: Two remarks about hereditary orders. Proc.AMS 28 (1971), 1–8.
Michler, G.: Green correspondence between blocks with cyclic defect groups II. Proc.ICRA, Springer Lecture Notes Nr.488, 210–235.
Miyata, T.: On the units of the integral group ring of a dihedral group. (1979) to appear J.Math.Soc.Japan.
Peacock, R.M.: Blocks with a cyclic defect group. J.Algebra 34 (1975), 232–259.
Plesken, W.: Gruppenringe über lokalen Dedekindbereichen. Habilitationsschrift, Aachen (1980).
Pu, L.C.: Integral representations of non-abelian groups of order p q. Mich.Math.J. 12 (1965), 231–246.
Ringel, C.M.-K.W. Roggenkamp: Diagrammatic methods in the representation theory of orders. J.Algebra 60 (1979), 11–42.
Roggenkamp, K.W.: Representation theory of finite groups. (1979) to appear Presses de l'Université de Montréal.
Whitcomb, A.: The group ring problem. Ph.D.Thesis, Univ.of Chicago, Illinois (1968).
Zassenhaus, H.: On the torsion units of finite group rings. Studies in Math. (in honor of A.Almeida Costa), Instituto de alta Cultura, Lisboa (1974), 119–126.
Hasse, H.: Über p-adische Schiefkörper und ihre Bedeutung für die Arithmetik hyperkomplexer Zahlsysteme. Math.Ann. 104 (19), 495–534.
Allan P.J. — C. Hobby: A characterization of units in ℤ[A]. Abstracts of papers presented to the Am.Math.Soc. 1 (1980), 48, 773-20-10.
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Roggenkamp, K.W. (1981). Structure of integral group rings. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 867. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090397
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DOI: https://doi.org/10.1007/BFb0090397
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