Quillen K-theory and representation rings of the quaternion group Q8 and the dihedral group D8

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Published: 2026-01-20
DOI: https://doi.org/10.56947/gjom.v22i1.3820
Keywords:
quaternion group, dihedral group, Morita equivalence, representation ring, Quillen K-theory

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Haddar Najwa
Laboratory, Faculty of Sciences Ain Chock Hassan II University, Morocco
Azi Khadija
Laboratory, Faculty of Sciences Ain Chock Hassan II University, Morocco
Deblij Ahmed
Laboratory, Faculty of Sciences Ain Chock Hassan II University, Morocco
Hinda Hamraoui
Laboratory, Faculty of Sciences Ain Chock Hassan II University, Morocco

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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Vol. 22 No. 1 (2026)

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Articles

How to Cite

Quillen K-theory and representation rings of the quaternion group Q8 and the dihedral group D8. (2026). Gulf Journal of Mathematics, 22(1), 1-18. https://doi.org/10.56947/gjom.v22i1.3820