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nac-groups
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نویسنده
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mousavi hamid
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منبع
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پنجاه و يكمين كنفرانس رياضي ايران - 1399 - دوره : 51 - پنجاه و یکمین کنفرانس ریاضی ایران - کد همایش: 99201-37641 - صفحه:0 -0
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چکیده
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A finite non-dedekind group g is called an nac-group if allnon-normal abelian subgroups are cyclic. in this paper, we classify all finitenac-groups. we show that the center of such groups is cyclic. if g hasa non-abelian non-normal sylow subgroup of odd order, then other sylowsubgroups of g are cyclic or of quaternion type.
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کلیدواژه
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nac-group ,abelian non-normal subgroup
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آدرس
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Authors
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