مشخصات پژوهش

صفحه نخست /FINITE GROUPS OF THE SAME ...
عنوان FINITE GROUPS OF THE SAME TYPE AS SUZUKI GROUPS
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Suzuki group, Thompson’s problem, element order.
چکیده For a finite group G and a positive integer n, let G(n) be the set of all elements in G such that x n = 1. The groups G and H are said to be of the same (order) type if |G(n)| = |H(n)|, for all n. The main aim of this paper is to show that if G is a finite group of the same type as Suzuki groups Sz(q), where q = 2 2m+1 ≥ 8, then G is isomorphic to Sz(q). This addresses to the well-known J. G. Thompson’s problem (1987) for simple groups.
پژوهشگران سیدحسن علوی (نفر اول)، اشرف دانشخواه (نفر دوم)، حسین پرویزی مساعد (نفر سوم)