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On the isomorphisms of the character rings

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Abstract

By considering the Galois action and the group action, we give the relation of two isomorphism character rings on the arbitrary field K with CharK = 0. Our results generalize Saksonov’s theorem.

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References

  1. Saksonov, A. L., The integral ring of characters of a finite group (in Russian), Vesci Akad, Navuk Bssr Ser. Fiz-Mat. Navuk., 1966, 3: 69–76.

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  2. Isaacs, I. M., Character Theory of Finite Groups, New York: Academic Press, 1976.

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  3. Nagao, H., Tsushima, Y., Representations of Finite Groups, New York: Academic Press, 1992.

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Authors and Affiliations

  1. Department of Mathematics, Qingdao University, 266071, Qingdao, China

    Jinke Hai

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  1. Jinke Hai
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Correspondence to Jinke Hai.

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Hai, J. On the isomorphisms of the character rings. Sci. China Ser. A-Math. 48, 88–96 (2005). https://doi.org/10.1360/03ys0135

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  • DOI: https://doi.org/10.1360/03ys0135

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