Artin-Schreier-Witt extensions and normal bases

Noriyuki Suwa

doi:10.32917/hmj/1355238372

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Home > Journals > Hiroshima Math. J. > Volume 42 > Issue 3 > Article

November 2012 Artin-Schreier-Witt extensions and normal bases

Noriyuki Suwa

Hiroshima Math. J. 42(3): 325-354 (November 2012). DOI: 10.32917/hmj/1355238372

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Abstract

We establish the Artin-Schreier-Witt theory in connection with the unit group scheme of a group algebra, following a method presented by Serre in Groupes algébriques et corps de classes. The argument is developed not only over a field but also over a ring, as generally as possible.

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Noriyuki Suwa. "Artin-Schreier-Witt extensions and normal bases." Hiroshima Math. J. 42 (3) 325 - 354, November 2012. https://doi.org/10.32917/hmj/1355238372