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a characterization of the suzuki groups by order and the largest elements order
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نویسنده
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ebrahimzadeh b. ,tehranian a. ,iranmanesh a. ,parvizi mosaed h.
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منبع
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journal of sciences islamic republic of iran - 2016 - دوره : 27 - شماره : 4 - صفحه:353 -355
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چکیده
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One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. let g be a finite group. we denote by k(g) the largest order of elements of g. in this paper, we prove that some suzuki groups are characterizable by order and the largest order of elements. in fact, we prove that if g is a group with |g|=|sz(q)| and k(g)=k(sz(q)) where q-1 or q ±?2q+1 is a prime number, then g?sz(q).
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کلیدواژه
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largest elements order ,prime graph ,frobenius group ,suzuki group
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آدرس
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1department of mathematics, faculty of basic sciences, science and research branch, islamic azad university, tehran, islamic republic of iran, ایران, 1department of mathematics, faculty of basic sciences, science and research branch, islamic azad university, tehran, islamic republic of iran, ایران, tarbiat modares university, ایران, 3alvand institute of higher education, hamedan, islamic republic of iran, ایران
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Authors
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