Quillen K-theory and representation rings of the quaternion group Q8 and the dihedral group D8
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Abstract
In this paper, we show that the quaternion group Q8 and the dihedral group D8 have isomorphic complex representation rings. As their complex group algebras are Morita equivalent, their Quillen K-theory groups are isomorphic.
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Najwa, H., Khadija, A., Ahmed, D., & Hamraoui, H. (2026). Quillen K-theory and representation rings of the quaternion group Q8 and the dihedral group D8. Gulf Journal of Mathematics, 22(1), 1-18. https://doi.org/10.56947/gjom.v22i1.3820
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