Huppert's Conjecture for Fi23Fi_{23}

  • 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

Abstract

Let GG denote a finite group and cd(G)\text{cd}(G) the set of irreducible character degrees of GG. Bertram Huppert conjectured that if HH is a finite nonabelian simple group such that \text{cd}(G) =\text{cd}(H), then GH×AG\cong H \times A, where AA 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 Fi23Fi_{23}.

Cite this article

Seyed Hassan Alavi, Ashraf Daneshkhah, H.P. Tong-Viet, Thomas P. Wakefield, Huppert's Conjecture for Fi23Fi_{23}. Rend. Sem. Mat. Univ. Padova 126 (2011), pp. 201–211

DOI 10.4171/RSMUP/126-11