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On matrix representation of some finite groups

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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