عنوان
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FINITE GROUPS OF THE SAME TYPE AS SUZUKI GROUPS
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Suzuki group, Thompson’s problem, element order.
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چکیده
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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.
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پژوهشگران
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سیدحسن علوی (نفر اول)، اشرف دانشخواه (نفر دوم)، حسین پرویزی مساعد (نفر سوم)
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