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

Authors

  • Rajaa Hassan Abass
  • . .

DOI:

https://doi.org/10.14419/ijet.v7i4.36.24223

Published:

2018-12-09

Keywords:

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

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.

 

References

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

[10] Mahmood SJ, On Artin Cokernel of Quaternion Group Q2m when m is an Even Number, M.Sc. thesis, University of Kufa, 2009.

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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 & Technology, 7(4.36), 681–688. https://doi.org/10.14419/ijet.v7i4.36.24223

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Received 2018-12-18
Accepted 2018-12-18
Published 2018-12-09