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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2013
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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 |
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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 |
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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. |
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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 |
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2013 |
| url |
http://eprints.utm.my/id/eprint/51212/ http://dx.doi.org/10.1063/1.4801246 |
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