Huppert’s conjecture and almost simple groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 148 (2022), pp. 173-184.
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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.
@article{RSMUP_2022__148__173_0, author = {Daneshkhah, Ashraf}, title = {Huppert{\textquoteright}s conjecture and almost simple groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {173--184}, volume = {148}, year = {2022}, doi = {10.4171/rsmup/103}, mrnumber = {4542376}, zbl = {07673825}, language = {en}, url = {http://www.numdam.org/articles/10.4171/rsmup/103/} }
TY - JOUR AU - Daneshkhah, Ashraf TI - Huppert’s conjecture and almost simple groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2022 SP - 173 EP - 184 VL - 148 UR - http://www.numdam.org/articles/10.4171/rsmup/103/ DO - 10.4171/rsmup/103 LA - en ID - RSMUP_2022__148__173_0 ER -
Daneshkhah, Ashraf. Huppert’s conjecture and almost simple groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 148 (2022), pp. 173-184. doi : 10.4171/rsmup/103. http://www.numdam.org/articles/10.4171/rsmup/103/
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