### Abstract

When L/F is an unramified extension of Henselian fields, 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 on ^{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 of residue 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 |
---|---|

Pages (from-to) | 53-81 |

Number of pages | 29 |

Journal | Pacific Journal of Mathematics |

Volume | 170 |

Issue number | 1 |

Publication status | Published - 1995 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**The corestriction op valued division algebras over henselian fields I.** / Hwang, Yoon Sung.

Research output: Contribution to journal › Article

*Pacific Journal of Mathematics*, vol. 170, no. 1, pp. 53-81.

}

TY - JOUR

T1 - The corestriction op valued division algebras over henselian fields I

AU - Hwang, Yoon Sung

PY - 1995

Y1 - 1995

N2 - When L/F is an unramified extension of Henselian fields, we analyze the underlying division algebra CD of the corestriction corL/F (D) of a tame division algebra D over L with respect to the unique valuations on CD 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 of residue 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.

AB - When L/F is an unramified extension of Henselian fields, we analyze the underlying division algebra CD of the corestriction corL/F (D) of a tame division algebra D over L with respect to the unique valuations on CD 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 of residue 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.

UR - http://www.scopus.com/inward/record.url?scp=84972554948&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972554948&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84972554948

VL - 170

SP - 53

EP - 81

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 1

ER -