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Information Journal Paper

Title

SPECIAL PROPERTIES OF THE LINEAR GROUP GL (3, Q)

Pages

  9-14

Abstract

 A square matrix over F with non-negative integral trace is called a quasi-permutation matrix over F. Let G be a finite linear group of degree n, that is, a finite group of authomorphisms of an n-dimensional complex vector space or, equivalently, a finite group of non-singular matrices of order n with complex coefficients. We shall say that G is a quasi-permutation group if the trace of every element of G is a non-negative rational integer. Thus a permutation group of degree n has a representation as a quasi-permutation group of degree n. In this paper we calculate the kernel and Galois groups for the irreducible characters of the group GL (3,q). These help us to obtain the permutation and quasi-permutation representations of the group GL (3,q).

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    APA: Copy

    GHORBANI, M.. (2006). SPECIAL PROPERTIES OF THE LINEAR GROUP GL (3, Q). INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), 17(2), 9-14. SID. https://sid.ir/paper/538273/en

    Vancouver: Copy

    GHORBANI M.. SPECIAL PROPERTIES OF THE LINEAR GROUP GL (3, Q). INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH)[Internet]. 2006;17(2):9-14. Available from: https://sid.ir/paper/538273/en

    IEEE: Copy

    M. GHORBANI, “SPECIAL PROPERTIES OF THE LINEAR GROUP GL (3, Q),” INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), vol. 17, no. 2, pp. 9–14, 2006, [Online]. Available: https://sid.ir/paper/538273/en

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    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
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