Integral represetation algebras
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- by Irving Reiner
- Trans. Amer. Math. Soc. 124 (1966), 111-121
- DOI: https://doi.org/10.1090/S0002-9947-1966-0202863-6
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References
- S. B. Conlon, Certain representation algebras, J. Austral. Math. Soc. 5 (1965), 83–99. MR 0185024, DOI 10.1017/S1446788700025908
- 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
- J. A. Green, The modular representation algebra of a finite group, Illinois J. Math. 6 (1962), 607–619. MR 141709, DOI 10.1215/ijm/1255632708
- J. A. Green, A transfer theorem for modular representations, J. Algebra 1 (1964), 73–84. MR 162843, DOI 10.1016/0021-8693(64)90009-2
- Alex Heller, Indecomposable representations and the loop-space operation, Proc. Amer. Math. Soc. 12 (1961), 640–643. MR 126480, DOI 10.1090/S0002-9939-1961-0126480-2
- 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
- Saunders Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, Band 114, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. MR 0156879, DOI 10.1007/978-3-642-62029-4
- 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
- J.-M. Maranda, On the equivalence of representations of finite groups by groups of automorphisms of modules over Dedekind rings, Canadian J. Math. 7 (1955), 516–526. MR 88498, DOI 10.4153/CJM-1955-054-9
- M. F. O’Reilly, On the semisimplicity of the modular representation algebra of a finite group, Illinois J. Math. 9 (1965), 261–276. MR 174641
- Irving Reiner, The integral representation ring of a finite group, Michigan Math. J. 12 (1965), 11–22. MR 172937
- Irving Reiner, Nilpotent elements in rings of integral representations, Proc. Amer. Math. Soc. 17 (1966), 270–274. MR 188306, DOI 10.1090/S0002-9939-1966-0188306-5
- Richard G. Swan, Periodic resolutions for finite groups, Ann. of Math. (2) 72 (1960), 267–291. MR 124895, DOI 10.2307/1970135
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 124 (1966), 111-121
- MSC: Primary 20.80; Secondary 16.40
- DOI: https://doi.org/10.1090/S0002-9947-1966-0202863-6
- MathSciNet review: 0202863