REDUCED K-THEORY FOR THE GROUP G(D)=D∗/NRDD(D∗)D′

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Motiee m.

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Seminar Paper

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Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2016 | Issue:47

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Title

REDUCED K-THEORY FOR THE GROUP G(D)=D∗/NRDD(D∗)D′

Author(s)

Motiee m. | Issue Writer Certificate

Keywords

DIVISION ALGEBRA

WHITEHEAD GROUP

VALUATION

Abstract

LET D BE A DIVISION ALGEBRA FINITE-DIMENSIONAL OVER ITS CENTER F. PUT D∗=D \ { 0} AND DENOTE BY D′ THE COMMUTATOR SUBGROUP OF D∗. LET G(D) =D∗ / NRDD (D∗) D′ WHERE NRDD (D∗) IS THE IMAGE OF D∗ UNDER THE REDUCED NORM MAP. IN THIS NOTE WE INVESTIGATE THE GROUP G(D) BY TWO METHODS: BY USING VALUATION THEORY FOR DIVISION ALGEBRAS AND BY USING K -THEORY METHODS. THIS ENABLES US TO COMPUTE THE GROUP G(D) IN SEVERAL CASES. IN PARTICULAR, WE GIVE AN EXPLICIT FORMULA FOR G(D) WHEN F IS A LOCAL FILED AND D IS A TAME DIVISION ALGEBRA.

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APA: Copy

Motiee, m.. (2016). REDUCED K-THEORY FOR THE GROUP G(D)=D^?/NRD_D(D^?)D?. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/947706/en

Vancouver: Copy

Motiee m.. REDUCED K-THEORY FOR THE GROUP G(D)=D^?/NRD_D(D^?)D?. 2016. Available from: https://sid.ir/paper/947706/en

IEEE: Copy

m. Motiee, “REDUCED K-THEORY FOR THE GROUP G(D)=D^?/NRD_D(D^?)D?,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/947706/en

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