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.
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Official URL: http://dx.doi.org/10.1063/1.4801246
Abstract
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.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| ID Code: | 51212 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 27 Jan 2016 01:53 |
| Last Modified: | 18 Sep 2017 00:12 |
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