Integral representations of dihedral groups of order 2𝑝

Integral representations of dihedral groups of order $2p$
HTML articles powered by AMS MathViewer

Trans. Amer. Math. Soc. 110 (1964), 213-231

DOI: https://doi.org/10.1090/S0002-9947-1964-0156896-7

PDF | Request permission

References

Samuel Eilenberg, Homological algebra, An. Inst. Mat. Univ. Nac. Autónoma México 1 (1961), 117–145 (Spanish). MR 166239
Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0144979
Fritz-Erdmann Diederichsen, Über die Ausreduktion ganzzahliger Gruppendarstellungen bei arithmetischer Äquivalenz, Abh. Math. Sem. Hansischen Univ. 13 (1940), 357–412 (German). MR 2133, DOI 10.1007/BF02940768
Alex Heller, On group representations over a valuation ring, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1194–1197. MR 125163, DOI 10.1073/pnas.47.8.1194
A. Heller and I. Reiner, Representations of cyclic groups in rings of integers. I, Ann. of Math. (2) 76 (1962), 73–92. MR 140575, DOI 10.2307/1970266
A. Heller and I. Reiner, Representations of cyclic groups in rings of integers. II, Ann. of Math. (2) 77 (1963), 318–328. MR 144980, DOI 10.2307/1970218

Indecomposable integral representations

The indecomposable representations of finite cyclic groups

9

Jean-Marie Maranda, On $\mathfrak {B}$-adic integral representations of finite groups, Canad. J. Math. 5 (1953), 344–355. MR 56605, DOI 10.4153/cjm-1953-040-2

Integral representations of cyclic groups of square free order

Irving Reiner, Integral representations of cyclic groups of prime order, Proc. Amer. Math. Soc. 8 (1957), 142–146. MR 83493, DOI 10.1090/S0002-9939-1957-0083493-6
Irving Reiner, The Krull-Schmidt theorem for integral group representations, Bull. Amer. Math. Soc. 67 (1961), 365–367. MR 138689, DOI 10.1090/S0002-9904-1961-10619-8
Irving Reiner, On the class number of representations of an order, Canadian J. Math. 11 (1959), 660–672. MR 108513, DOI 10.4153/CJM-1959-061-5
Irving Reiner, Failure of the Krull-Schmidt theorem for integral representations, Michigan Math. J. 9 (1962), 225–231. MR 144942
Richard G. Swan, Induced representations and projective modules, Ann. of Math. (2) 71 (1960), 552–578. MR 138688, DOI 10.2307/1969944

Integral representations of cyclic groups order