Abstract
Let E be an existentially closed skew field in the class of all skew fields with given central subfield Z. For the multiplicative group E* it is shown that the group G ≔ E*/Z* is simple.
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von Kegel, O.H. Zur Einfachheit der multiplikativen Gruppe eines existentiell abgeschlossenen Schiefkörpers. Results. Math. 35, 103–106 (1999). https://doi.org/10.1007/BF03322025
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DOI: https://doi.org/10.1007/BF03322025