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Date Published: 27/06/2021
Online Published: 28/06/2021
Abstract Views: 173
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DOI: https://doi.org/10.54607/hcmue.js.18.6.3071(2021)
Issue
Vol. 18 No. 6 (2021)
Section
Natural Sciences and Technology
How to Cite
Lê , V. C. (2021). SUBGROUPS OF THE UNIT GROUPS OF A GROUP ALGEBRA. HCMUE Journal of Science, 18(6), 1064. https://doi.org/10.54607/hcmue.js.18.6.3071(2021)

SUBGROUPS OF THE UNIT GROUPS OF A GROUP ALGEBRA

Văn Chua Lê

Main Article Content

Abstract

 

Let G be a group and F a field. A subgroup H of the unit group (FG)* of the group algebra FG is said to be almost subnormal if there exists a sequence of subgroups

 

such that for any 0<=i<r either  is normal in  or  has the finite index in  In this paper, we show that if G is a finite nilpotent group, F is a pythagorean field, F admits only archimedean orderings, and every quaternion division algebra A over F is isomorphic to the ordinary quaternion algebra  then almost every subnormal subgroup of the unit group (FG)* of the group algebra  is normal in(FG)*

 

Keywords

almost subnormal subgroup, group algebra, pythagorean field

Article Details

References

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