A new characterization of symplectic groups C2(3n)

Authors

  • Behnam Ebrahimzadeh Department of Mathematics, Buinzahra Branch, Islamic Azad University, Buinzahra, Iran
  • Reza Mohammadyari Department of Mathematics, Buinzahra Branch, Islamic Azad University, Buinzahra, Iran

DOI:

https://doi.org/10.12697/ACUTM.2019.23.12

Keywords:

order of an element, elements with the same order, prime graph, symplectic group

Abstract

We prove that symplectic groups C2(3n), where n = 2k (k ≥ 0) and (32n + 1)=2 is a prime number, can be uniquely determined by the order of the group and the number of elements with the same order.

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Published

2019-08-09

Issue

Section

Articles