On some brauer subgroups arising from twists of matrix algebras

Wen Chen Chi; Hung Min Liao; Ki Seng Tan

doi:10.1080/00927870802177325

On some brauer subgroups arising from twists of matrix algebras

Wen Chen Chi^*
, Hung Min Liao
, Ki Seng Tan

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study some relations between groups of continuous characters and subgroups of Brauer groups. Explicit determination of some subgroups of Brauer groups arising from this connection are done for some cases in the local fields via local class field theory.

Original language	English
Pages (from-to)	4218-4222
Number of pages	5
Journal	Communications in Algebra
Volume	36
Issue number	11
DOIs	https://doi.org/10.1080/00927870802177325
Publication status	Published - 2008 Nov

Keywords

Brauer groups
Class field theory
Cyclic algebras
Twists of matrix algebras

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870802177325

Cite this

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title = "On some brauer subgroups arising from twists of matrix algebras",

abstract = "We study some relations between groups of continuous characters and subgroups of Brauer groups. Explicit determination of some subgroups of Brauer groups arising from this connection are done for some cases in the local fields via local class field theory.",

keywords = "Brauer groups, Class field theory, Cyclic algebras, Twists of matrix algebras",

author = "Chi, \{Wen Chen\} and Liao, \{Hung Min\} and Tan, \{Ki Seng\}",

year = "2008",

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doi = "10.1080/00927870802177325",

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AU - Liao, Hung Min

AU - Tan, Ki Seng

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KW - Brauer groups

KW - Class field theory

KW - Cyclic algebras

KW - Twists of matrix algebras

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 11

ER -

On some brauer subgroups arising from twists of matrix algebras

Abstract

Keywords

ASJC Scopus subject areas

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