Huppert's Conjecture for
Seyed Hassan Alavi
The University of Western Australia, Crawley,AustraliaAshraf Daneshkhah
Bu-Ali Sina University, Hamedan, IranH.P. Tong-Viet
University of KwaZulu-Natal, Pietermaritzburg, South AfricaThomas P. Wakefield
Youngstown State University, USA
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Abstract
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 , 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