On matrix representation of some finite groups

A homomorphism T:g→T(g) of G into GL(M) is a representation of G with representation space M. Two representations T and T′ with space M and M′ are said to be equivalent if there exists a K-isomorphism S of M and M′. The notation (M:K) is the dimension of M over K where M is a vector space and K is a...

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Main Authors: Mohd. Adnan, N. A., Sarmin, N. H., Mohd. Ali, N. M., Yahya, Z., Zakaria M., M.
Format: Conference or Workshop Item
Published: 2013
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Online Access:http://eprints.utm.my/id/eprint/51212/
http://dx.doi.org/10.1063/1.4801246
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Institution: Universiti Teknologi Malaysia
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spelling my.utm.512122017-09-18T00:12:34Z http://eprints.utm.my/id/eprint/51212/ On matrix representation of some finite groups Mohd. Adnan, N. A. Sarmin, N. H. Mohd. Ali, N. M. Yahya, Z. Zakaria M., M. QA Mathematics A homomorphism T:g→T(g) of G into GL(M) is a representation of G with representation space M. Two representations T and T′ with space M and M′ are said to be equivalent if there exists a K-isomorphism S of M and M′. The notation (M:K) is the dimension of M over K where M is a vector space and K is a field while G is a finite group. A matrix representation of G of degree n is a homomorphism T:g→T(g) of G into GL(n, K), where GL(n, K) stands for the group of invertible n × n matrices over K. In this paper, the matrix representations for dihedral groups of order 12 and order 16 and an alternating group of order 12 are presented. 2013 Conference or Workshop Item PeerReviewed Mohd. Adnan, N. A. and Sarmin, N. H. and Mohd. Ali, N. M. and Yahya, Z. and Zakaria M., M. (2013) On matrix representation of some finite groups. In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, PTS A And B. http://dx.doi.org/10.1063/1.4801246
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Mohd. Adnan, N. A.
Sarmin, N. H.
Mohd. Ali, N. M.
Yahya, Z.
Zakaria M., M.
On matrix representation of some finite groups
description A homomorphism T:g→T(g) of G into GL(M) is a representation of G with representation space M. Two representations T and T′ with space M and M′ are said to be equivalent if there exists a K-isomorphism S of M and M′. The notation (M:K) is the dimension of M over K where M is a vector space and K is a field while G is a finite group. A matrix representation of G of degree n is a homomorphism T:g→T(g) of G into GL(n, K), where GL(n, K) stands for the group of invertible n × n matrices over K. In this paper, the matrix representations for dihedral groups of order 12 and order 16 and an alternating group of order 12 are presented.
format Conference or Workshop Item
author Mohd. Adnan, N. A.
Sarmin, N. H.
Mohd. Ali, N. M.
Yahya, Z.
Zakaria M., M.
author_facet Mohd. Adnan, N. A.
Sarmin, N. H.
Mohd. Ali, N. M.
Yahya, Z.
Zakaria M., M.
author_sort Mohd. Adnan, N. A.
title On matrix representation of some finite groups
title_short On matrix representation of some finite groups
title_full On matrix representation of some finite groups
title_fullStr On matrix representation of some finite groups
title_full_unstemmed On matrix representation of some finite groups
title_sort on matrix representation of some finite groups
publishDate 2013
url http://eprints.utm.my/id/eprint/51212/
http://dx.doi.org/10.1063/1.4801246
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