This paper describes the irreducible representation of all groups of order 8 through Great Orthogonality Theorem. Although this method is not as lengthy as using Burnside method, the same approach cannot be used for all type of groups since, there are exceptions for cyclic groups and direct product groups. In order to deduce the irreducible representations for groups using Great
Orthogonality Theorem method, we identify the groups like C8
,C2
x C4
and C2
xC x C .
%0 Journal Article
%1 123mrajapavankumardvsranilkumar2014irredusible
%A 1 2 3 M. Raja Pavan Kumar, D.V.S.R. Anil Kumar, J.Pramada
%D 2014
%E and Fabricio Moraes de Almeida,
%J Science Park Research Journal
%K Dihedral Great Quaternion cyclic group irreducible. orthogonality theorem
%N 24
%T The Irredusible Representations Of Cycle Groups Of
Order 8
%U http://www.scienceparks.in/ArticlePDF/52.pdf
%V 1
%X This paper describes the irreducible representation of all groups of order 8 through Great Orthogonality Theorem. Although this method is not as lengthy as using Burnside method, the same approach cannot be used for all type of groups since, there are exceptions for cyclic groups and direct product groups. In order to deduce the irreducible representations for groups using Great
Orthogonality Theorem method, we identify the groups like C8
,C2
x C4
and C2
xC x C .
@article{123mrajapavankumardvsranilkumar2014irredusible,
abstract = {This paper describes the irreducible representation of all groups of order 8 through Great Orthogonality Theorem. Although this method is not as lengthy as using Burnside method, the same approach cannot be used for all type of groups since, there are exceptions for cyclic groups and direct product groups. In order to deduce the irreducible representations for groups using Great
Orthogonality Theorem method, we identify the groups like C8
,C2
x C4
and C2
xC x C . },
added-at = {2014-08-15T13:47:39.000+0200},
author = {{1 2 3 M. Raja Pavan Kumar, D.V.S.R. Anil Kumar}, J.Pramada},
biburl = {https://www.bibsonomy.org/bibtex/255517c9d46bdf064cb2656605f6e3040/sciencejournal},
editor = {and Fabricio Moraes de Almeida},
interhash = {509e845a52e49d7731a2561fe6bd1e56},
intrahash = {55517c9d46bdf064cb2656605f6e3040},
journal = { Science Park Research Journal},
keywords = {Dihedral Great Quaternion cyclic group irreducible. orthogonality theorem},
month = {january},
number = 24,
timestamp = {2014-08-15T13:47:39.000+0200},
title = {The Irredusible Representations Of Cycle Groups Of
Order 8},
url = {http://www.scienceparks.in/ArticlePDF/52.pdf},
volume = 1,
year = 2014
}