Abstract
Let G be a finite group, 0 a commutative ring with identity and Γ(0G) the group ring of G over 0. In this paper we obtain ideals of the centre Z(0G)of P(0G) which when 0 = k, a field of characteristic p, include the ideal of Reynolds ([2], Theorem 1)
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References
James A. Green, “Some remarks on defect groups”, Math. Z. 107 (1968), 133–150. 2ßt38#2222.
William F Reynolds, “Sections and ideals of centres of group algebras”, J. Algebra 20 (1972), 176–181. Zb1.232.20005.
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© 1974 Springer-Verlag Berlin Heidelberg
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O’Reilly, M.F. (1974). Ideals in the Centre of a Group Ring. In: Newman, M.F. (eds) Proceedings of the Second International Conference on the Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21571-5_56
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DOI: https://doi.org/10.1007/978-3-662-21571-5_56
Publisher Name: Springer, Berlin, Heidelberg
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