The Number of Homomorphisms From Quaternion Group into Some Finite Groups


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Authors

  • R. Rajkumar Department of Mathematics, The Gandhigram Rural Institute-Deemed University, Gandhigram, Tamil Nadu, India
  • M. Gayathri Department of Mathematics, The Gandhigram Rural Institute-Deemed University, Gandhigram, Tamil Nadu, India
  • T. Anitha Department of Mathematics, The Gandhigram Rural Institute-Deemed University, Gandhigram, Tamil Nadu, India

Keywords:

Finite groups, homomorphisms

Abstract

We derive general formulae for counting the number of homomorphisms from quaternion group into each of quaternion group, dihedral group, quasi-dihedral group and modular group by using only elementary group theory.

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Published

15-09-2015

How to Cite

R. Rajkumar, M. Gayathri, & T. Anitha. (2015). The Number of Homomorphisms From Quaternion Group into Some Finite Groups. International Journal of Mathematics And Its Applications, 3(3 - A), 23–30. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/442

Issue

Vol. 3 No. 3 - A (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.