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Integral group rings of solvable finite groups have no idempotent ideals. (English) Zbl 0282.20002


MSC:

20C05 Group rings of finite groups and their modules (group-theoretic aspects)
16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
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References:

[1] T. Akasaki, Idempotent ideals in integral group rings, I, J. Algebra23, 343-346 (1972); II, Arch. Math.24, 126-128 (1973). · Zbl 0243.16007 · doi:10.1016/0021-8693(72)90135-4
[2] T.Akasaki, Idempotent ideals over the symmetric group. Mimeographed notes. · Zbl 0262.16015
[3] A. Heller, On group representations over a valuation ring. Proc. Nat. Acad. Sci. U.S.A.47, 1194-1197 (1961). · Zbl 0114.25701 · doi:10.1073/pnas.47.8.1194
[4] S. K.Sehgal, Unpublished.
[5] R. G. Swan, The Grothendieck ring of a finite group. Topology2, 85-110 (1963). · Zbl 0119.02905 · doi:10.1016/0040-9383(63)90025-9
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