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A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE

Author

Listed:
  • Farnoosh Hajati

    (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515-775, Iran)

  • Ali Iranmanesh

    (Department of Mathematics, Tarbiat Modares University, Tehran 14115-137, Iran)

  • Abolfazl Tehranian

    (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515-775, Iran)

Abstract

Let G be a finite group and ω ( G ) be the set of element orders of G . Let k ∈ ω ( G ) and m k be the number of elements of order k in G . Let n s e ( G ) = { m k | k ∈ ω ( G ) } . In this paper, we prove that if G is a finite group such that nse ( G ) = nse ( H ), where H = P S U ( 3 , 3 ) or P S L ( 3 , 3 ) , then G ≅ H .

Suggested Citation

  • Farnoosh Hajati & Ali Iranmanesh & Abolfazl Tehranian, 2018. "A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE," Mathematics, MDPI, vol. 6(7), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:7:p:120-:d:157178
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