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A NOTE ON THE NORMALIZER OF SYLOW 2-SUBGROUP OF SPECIAL LINEAR GROUP SL_2(p^f)
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نویسنده
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شی جیانگتو
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منبع
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international journal of group theory - 2014 - دوره : 3 - شماره : 4 - صفحه:33 -36
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چکیده
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Let g = sl2(pf ) be a special linear group and p be a sylow 2-subgroup of g, where pis a prime and f is a positive integer such that pf > 3. by ng(p) we denote the normalizer of pin g. in this paper, we show that ng(p) is nilpotent (or 2-nilpotent, or supersolvable) if and only ifp2f 1 (mod 16).
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کلیدواژه
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Special linear group ,Sylow subgroup ,normalizer ,nilpotent ,supersolvable
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آدرس
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Yantai University, School of Mathematics and Information Science, Yantai University, Yantai, China, China
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پست الکترونیکی
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shijt2005@163.com
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Authors
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