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Centralizers of Certain Matrices Relative to the Operation Related to A K-Loop

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With respect to the binary operation A ⊞ B = AB2A on the set m2(K) of all 2 × 2 matrices over an arbitrary field K, we determine the centralizer of each element A of m2(K).

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References

  1. Im, B., K-loops and quasidirect products in 2-dimensional linear groups over a pythagorean field, Res. Math. 28 (1995), 67–74.

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  2. Karzel, H., Raum-Zeit-Welt und hyperbolische Geometrie. Vorlesungsaus arbeitung von A. Konrad, Beiträge zur Geometrie und Algebra 29 (1994), TUM-M 9412, Techn. Univ. München.

  3. Karzel, H., Wefelscheid, H., A geometric construction of the K-loop of a hyperbolic space, Geom. Dedicata 58 (1995), 227–236.

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This work was supported by CHONNAM NATIONAL UNIVERSITY RESEARCH FUND, 1998

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Im, B., Karzel, H. Centralizers of Certain Matrices Relative to the Operation Related to A K-Loop. Results. Math. 36, 69–74 (1999). https://doi.org/10.1007/BF03322103

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  • DOI: https://doi.org/10.1007/BF03322103

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