Huppert’s conjecture and almost simple groups

  • Ashraf Daneshkhah

    Bu-Ali Sina University, Hamedan, Iran
Huppert’s conjecture and almost simple groups cover

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Abstract

Let be a finite group and denote the set of complex irreducible character degrees of . In this paper, we prove that if is a finite group and is an almost simple group whose socle is with ( prime) such that , then there exists an abelian subgroup of such that is isomorphic to . In view of Huppert's conjecture (2000), the main result of this paper gives rise to some examples that is not necessarily a direct product of and , and consequently, we cannot extend this conjecture to almost simple groups.

Cite this article

Ashraf Daneshkhah, Huppert’s conjecture and almost simple groups. Rend. Sem. Mat. Univ. Padova 148 (2022), pp. 173–184

DOI 10.4171/RSMUP/103