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С.Д. Берман, П.М. Гудивок [S.D. Berman, P.M. Gudivok], "Неразлсжимые представления конечных групп над кольцом целых p-адических чисел" [Indecomposable representations of finite groups over the ring of p-adic integers], Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 875–910; English Transl., Amer. Math. Soc. Transl. (2) 50 (1966), 77–113.
Charles W. Curtis, Irving Reiner, Representation Theory of Finite Groups and Associative Algebras (Pure and Applied Mathematics, 11. Interscience [John Wiley & Sons], New York, London, 1962).
Fritz-Erdmann Diederichsen, "Über die Ausreduktion ganzzahliger Gruppen-darstellungen bei arithmetischen Äquivalenz", Abh. Math. Sem. Univ. Hamburg 13 (1940), 357–412.
Steven Galovich, "The class group of a cyclic p-group", J. Algebra 30 (1974), 368–387.
A. Heller and I. Reiner, "Representations of cyclic groups in rings of integers, I", Ann. of Math. (2) 76 (1962), 73–92.
A. Heller and I. Reiner, "Representations of cyclic groups in rings of integers, II", Ann. of Math. (2) 77 (1963), 318–328.
Alfredo Jones, "Groups with a finite number of indecomposable integral representations", Mich. Math. J. 10 (1963), 257–261.
H. Jacobinski, "Genera and decompositions of lattices over orders", Acta Math. 121 (1968), 1–29.
Michael A. Kervaire and M. Pavaman Murthy, "On the projective class group of cyclic groups of prime power order", Comment. Math. Helv. 52 (1977), 415–452.
Irving Reiner, "A survey of integral representation theory", Bull. Amer. Math. Soc. 76 (1970), 159–227.
I. Reiner, Maximal Orders (London Mathematical Society Monographs, 5. Academic Press [Harcourt Brace Jovanovich], London, New York, San Francisco, 1975).
Irving Reiner, "Integral representations of cyclic groups of order p 2", Proc. Amer. Math. Soc. 58 (1976), 8–12. Erratum: Proc. Amer. Math. Soc. 63 (1977), 374.
Irving Reiner, "Invariants of integral representations", Pacific J. Math. (to appear).
Stephen V. Ullom, "Fine structure of class groups of cyclic p-groups", J. Algebra 49 (1977), 112–124.
S. Ullom, "Class groups of cyclotomic fields and group rings", J. London Math. Soc. (to appear).
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© 1978 Springer-Verlag
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Reiner, I. (1978). Integral representations of cyclic p-groups. In: Newman, M.F., Richardson, J.S. (eds) Topics in Algebra. Lecture Notes in Mathematics, vol 697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103123
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DOI: https://doi.org/10.1007/BFb0103123
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