Huppert's Conjecture for

  • Seyed Hassan Alavi

    The University of Western Australia, Crawley,Australia
  • Ashraf Daneshkhah

    Bu-Ali Sina University, Hamedan, Iran
  • H.P. Tong-Viet

    University of KwaZulu-Natal, Pietermaritzburg, South Africa
  • Thomas P. Wakefield

    Youngstown State University, USA


Let denote a finite group and the set of irreducible character degrees of . Bertram Huppert conjectured that if is a finite nonabelian simple group such that \( \text{cd}(G) =\text{cd}(H) \), then , where is an abelian group. Huppert verified the conjecture for many of the sporadic simple groups. We illustrate the arguments by presenting the verification of Huppert's Conjecture for .

Cite this article

Seyed Hassan Alavi, Ashraf Daneshkhah, H.P. Tong-Viet, Thomas P. Wakefield, Huppert's Conjecture for . Rend. Sem. Mat. Univ. Padova 126 (2011), pp. 201–211

DOI 10.4171/RSMUP/126-11