Artin Characters for the Special Linear Group SL(2,p) where p is a prime number 19
Publication Date
Sun Mar 01 2009
Journal Name
Journal Of The College Of Basic Education, Al-mustansiriyah University
Publication Date
Tue Jan 01 2013
Journal Name
College Of Education Journal, Al-mustansiriyah University
Publication Date
Mon Jan 08 2024
Journal Name
Iraqi Journal For Computer Science And Mathematics
Applications for the groups S.U.T.(2,p) where p prime upper than 9
The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing the conjugacy classes, cyclic subgroups, the ordinary character table (o.ch.ta.) and the rational valued character table for each group.
Publication Date
Tue Aug 04 2009
Journal Name
Journal Of The College Of Basic Education, Al-mustansiriyah University
Publication Date
Tue Mar 30 2021
Journal Name
Journal Of Interdisciplinary Mathematics
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Publication Date
Sun Jan 01 2023
Journal Name
Mathematical Statistician And Engineering Applications
Publication Date
Mon Apr 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Publication Date
Thu Jul 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Score for the Group SL(2,38)
The set of all (n×n) non-singular matrices over the field F. And this set forms a group under the operation of matrix multiplication. This group is called the general linear group of dimension over the field F, denoted by . The determinant of these matrices is a homomorphism from into F* and the kernel of this homomorphism was the special linear group and denoted by Thus is the subgroup of which contains all matrices of determinant one.
The rationally valued characters of the rational representations are written as a linear combination of the induced characters for the groups discussed in this paper. We find the Artin indicator for this group after studying the rationally valued characters of the rational
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Publication Date
Sat Jan 20 2024
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Outcome for the group SL(2,57)
The set of all (n×n) non-singular matrices over the field F this set forms a group under the operation of matrix multiplication. This group is called the general linear group of dimension over the field F, denoted by . The determinant of these matrices is a homomorphism from into F* and the kernel of this homomorphism was the special linear group and denoted by Thus is the subgroup of which contains all matrices of determinant one.
The rational valued characters of the rational representations written as a linear combination of the induced characters for the groups discuss in this paper and find the Artin indicator for this group after study the rational valued characters of the rational representations and the induce
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Publication Date
Tue Feb 01 2022
Journal Name
Iraqi Journal Of Science
P, P-L. Compact Topological Ring
rings
compact topological ring
topological ring
D-cover groups
isomorpnism
direct product
D-compact group
In this paper, we introduced some new definitions on P-compact topological ring and PL-compact topological ring for the compactification in topological space and rings, we obtain some results related to P-compact and P-L compact topological ring.