### Abstract

When L/F is a tame extension of Henselian fields (i.e. char(F) [L: F]), we analyze the underlying division algebra ^{C}D of the corestriction cor_{L/F} (D) of a tame division algebra D over L with respect to the unique valuations of ^{C}D and D extending the valuations on F and L. We show that the value group of CD lies in the value group of D and for the center ofresidue division algebra, is the normal closure of Z(D) over F and k is an integer depending on which roots of unity lie in F and L.

Original language | English |
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Pages (from-to) | 83-103 |

Number of pages | 21 |

Journal | Pacific Journal of Mathematics |

Volume | 170 |

Issue number | 1 |

Publication status | Published - 1995 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Hwang, Y. S. (1995). The corestriction of valued division algebras over henselian fields II.

*Pacific Journal of Mathematics*,*170*(1), 83-103.