a note on finite groups with the indice of some maximal subgroups being primes
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نویسنده
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zhang cui
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منبع
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international journal of group theory - 2017 - دوره : 6 - شماره : 2 - صفحه:17 -20
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چکیده
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The theorem 12 in [a note on p-nilpotence and solvability of nite groups, j. algebra 321 (2009) 1555-1560.] investigated the non-abelian simple groups in which some maximal subgroups have primes indices. in this note we show that this result can be applied to prove that the nite groups in which every non-nilpotent maximal subgroup has prime index are solvable.
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کلیدواژه
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non-abelian simple group ,the index of maximal subgroup ,solvable group
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آدرس
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yantai university, school of mathematics and information sciences, china
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پست الکترونیکی
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zhangcui2005@126.com
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