The Primitive and Imprimitive Soluble Subgroups of GL(4,Pk)

Behnam Razzagh

doi:10.24297/jam.v16i0.8217

The Primitive and Imprimitive Soluble Subgroups of GL(4,Pk)

Authors

Behnam Razzagh Islamic Azad University

DOI:

https://doi.org/10.24297/jam.v16i0.8217

Keywords:

Symplectic Groups, General Linear Groups, Primitive Groups

Abstract

In this paper we will determined all of the primitive and imprimitive Soluble Subgroups of GL(4,p^k). It turns out that the number of types of the irreducible Soluble Subgroups in GL(4,p^k)are 10 types and are M_i,i=1,…,10. moreover we find these subgroups.

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Author Biography

Behnam Razzagh, Islamic Azad University

Faculty Member, Studies Applied Mathematics Science and Research Branch, Mathemathic Department, Islamic Azad University, Iran

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Published

2019-03-30

How to Cite

Razzagh, B. (2019). The Primitive and Imprimitive Soluble Subgroups of GL(4,Pk). JOURNAL OF ADVANCES IN MATHEMATICS, 16, 8368–8375. https://doi.org/10.24297/jam.v16i0.8217