characterization of finite groups with a unique non-nilpotent proper subgroup
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نویسنده
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taeri bijan ,tayanloo-beyg fatemeh
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منبع
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international journal of group theory - 2021 - دوره : 10 - شماره : 1 - صفحه:47 -53
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چکیده
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We characterize finite non-nilpotent groups 𝐺 with a unique non-nilpotent proper subgroup. we show that |𝐺| has at most three prime divisors. when 𝐺 is supersolvable we find thevpresentation of 𝐺 and when 𝐺 is non-supersolvable we show that either 𝐺 is a direct product of an schmidt group and a cyclic group or a semi direct product of a 𝑝-group by a cyclic group of prime power order.
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کلیدواژه
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finite groups، minimal non-abelian groups، minimal non-nilpotent groups، critical groups
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آدرس
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isfahan university of technology, department of mathematical sciences, iran, isfahan university of technology, department of mathematical sciences, iran
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پست الکترونیکی
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f.tayanloo@math.iut.ac.ir
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