Huppert's Conjecture for $Fi_{23}$

Seyed Hassan Alavi; Ashraf Daneshkhah; H.P. Tong-Viet; Thomas P. Wakefield

doi:10.4171/rsmup/126-11

JournalsrsmupVol. 126pp. 201–211

Huppert's Conjecture for $F i_{23}$

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

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Abstract

Let $G$ denote a finite group and $cd (G)$ the set of irreducible character degrees of $G$ . Bertram Huppert conjectured that if $H$ is a finite nonabelian simple group such that $cd (G) = cd (H)$ , then $G ≅ H \times A$ , where $A$ 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 $F i_{23}$ .

Cite this article

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

DOI 10.4171/RSMUP/126-11