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References
H. Cartan and S. Eilenberg-Homological algebra, Princeton Univ. Press, Princeton, N.J. 1956.
C.W. Curtis and I. Reiner-Representation theory of finite groups and associative algebras, Interscience, New York, 1962, second edition, 1966.
F.E. Diederichsen-Uber die Ausreduktion ganzzahliger Gruppendarstellungen bei arithmetischer Aquivalenz, Abh. Math. Sem. Univ. Hamburg 14 (1938), 357–412.
S. Galovich-The class group of a cyclic p-group, J. of Algebra 30 (1974), 368–387.
A. Heller and I. Reiner-Representations of cyclic groups in rings of integers, I, II, Annals of Math. (2) 76 (1962), 73–92; 77 (1963), 318–328.
H. Jacobinski-Sur les ordres commutatifs avec un nombre fini de réseaux indécomposables, Acta Math. 118 (1967), 1–31.
H. Jacobinski-Genera and decomposition of lattices over orders, Acta Math. 121 (1968), 1–29.
M.A. Kervaire and M.P. Murthy-On the projective class groups of cyclic groups of prime power order, to appear.
M.P. Lee-Integral reprepresentations of dihedral groups of order 2p. Trans. Amer. Math. Soc. 110 (1964), 213–231.
L.A. Nazarova-Unimodular representations of the four group, Dokl. Akad. Nauk SSSR, 140 (1961), 1011–1014: Soviet Math. Dokl. 2 (1961), 1304–1307.
L.C. Pu-Integral representations of non-abelian groups of order pq, Michigan Math. J. 12 (1965), 231–246.
I. Reiner-Integral representations of cyclic groups of prime order, Proc. Amer. Math. Soc. 8 (1957), 142–146.
I. Reiner-Maximal orders, Academic Press, London, 1975.
I. Reiner-Integral representations of cyclic groups of order p2, Proc. Amer. Math. Soc. 58 (1976), 8–12.
I. Reiner-Indecomposable integral representations of cyclic p-groups, Proc. Temple Univ. Conference 1976, to appear.
I. Reiner-Invariants of integral representations, to appear.
K. W. Roggenkamp-Lattices over orders II, Springer Lecture Notes 142 (1970).
A.V. Roiter-On integral representations belonging to a genus, Izv. Akad. Nauk SSSR, Ser. Mat. 30 (1966), 1315–1324; (Amer. Math. Soc. Translations (2) 71 (1968), 49–59).
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Reiner, I. (1978). Integral representations of finite groups. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil Proceedings, Paris 1976–1977 (30ème Année). Lecture Notes in Mathematics, vol 641. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064845
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DOI: https://doi.org/10.1007/BFb0064845
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