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IJET International Journal of Engineering and Technology E-ISSN 2227-524X

The Cyclic Decomposition of the Group (Q2m C4) When m= ,h, r∈ Z+ and p is Prime Number

Abstract

The main purpose of this paper is to find The Cyclic decomposition of the group (Q2m C4) when m= h, r  Z+and p is prime number, which is denoted by AC (Q2m ×C4) where Q2m is the Quaternion group and C4 is the cyclic group of order 4 . We have also found the general form of Artin's characters table of Ar(Q2m×C4) when m=  ,h,r  Z+and p is prime number.


Authors and Affiliations

  • Rajaa Hassan Abass
  • . .

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Keywords

  • Quaternion group
  • the cyclic group
  • Artin'
  • s characters
  • Artin'
  • s characters table
  • the cyclic decomposition

References

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[9] Abass RH, “On the Rational Valued Characters Table of the Group (Q2m×C4) When m is an Even Number”, Applied Mathematical Sciences, (2017), pp.1915–1923.

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How to Cite

Hassan Abass, R., & ., . (2018). The Cyclic Decomposition of the Group (Q2m C4) When m= ,h, r∈ Z+ and p is Prime Number. International Journal of Engineering and Technology, 7(4.36), 681-688. https://doi.org/10.14419/ijet.v7i4.36.24223