مشخصات پژوهش

عنوان	GROUPS WITH THE SAME CHARACTER DEGREES AS SPORADIC ALMOST SIMPLE GROUPS
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	character degrees, almost simple groups, sporadic simple groups, Huppert’s conjecture.
چکیده	Let G be a finite group and cd(G) denote the set of complex irreducible character degrees of G. We prove that if G is a finite group and H is an almost simple group whose socle is a sporadic simple group H0 and such that cd(G) = cd(H), then G′ H0 and there exists an abelian subgroup A of G such that G/A is isomorphic to H. In view of Huppert’s conjecture, we also provide some examples to show that G is not necessarily a direct product of A and H, so that we cannot extend the conjecture to almost simple groups.
پژوهشگران	سیدحسن علوی (نفر اول)، اشرف دانشخواه (نفر دوم)، علی جعفری (نفر سوم)