مشخصات پژوهش

عنوان	On groups with the same character degrees as almost simple groups with socle Mathieu groups
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Character degrees, almost simple groups, sporadic simple groups, Mathieu simple groups, Huppert’s Conjecture
چکیده	Let G be a nite group and cd.G/ denote the set of complex irreducible character degrees of G. In this paper, we prove that if G is a nite group and H is an almost simple group whose socle is a Mathieu group such that cd.G/ D cd.H /, then there exists an abelian subgroup A of G such that G=A is isomorphic to H. In view of Huppert’s conjecture (2000), we also provide some examples to show that G is not necessarily a direct product of A and H , and hence we cannot extend this conjecture to almost simple groups.
پژوهشگران	سیدحسن علوی (نفر اول)، اشرف دانشخواه (نفر دوم)، علی جعفری (نفر سوم)