CYCLIC HYPERGROUPS WHICH ARE INDUCED BY THE CHARACTER OF SOME FINITE GROUPS

Authors

  • Sara Sekhavatizadeh Tarbiat Modares University - Department of Mathematics
  • Mohamad Mehdi Zahedi Shahid Bahonar University - Department of Mathematics
  • Ali Iranmanesh Tarbiat Modares University - Department of Mathematics

Keywords:

polygroup, cyclic hypergroup, character

Abstract

Let G be a finite group and Ĝ be the set of all irreducible characters of G.  In this paper, the hypergroups obtained from the character table Ĝ are considered. Moreover, we show that Ŝn for n ≥ 3 and Ân for n ≥ 4 are single-power cyclic hypergroups and D̂2n is cyclic with finite period.

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

Sekhavatizadeh, S., Zahedi, M. M., & Iranmanesh, A. (2014). CYCLIC HYPERGROUPS WHICH ARE INDUCED BY THE CHARACTER OF SOME FINITE GROUPS. Italian Journal of Pure and Applied Mathematics, 33, 123–132. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6291

Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Sara Sekhavatizadeh, Mohamad Mehdi Zahedi, Ali Iranmanesh

Creative Commons License

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

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)