minimal non-abelian groups with an average condition on subgroups
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نویسنده
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taeri bijan ,tooshmalani ziba
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منبع
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journal of mahani mathematical research - 2025 - دوره : 14 - شماره : 1 - صفحه:387 -397
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چکیده
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For a finite group g, the average order o(g) is defined to be the average of all order elements in g. we say that g satisfies the average condition if o(h)leq o(g) for all subgroups h of g. in [on a question of jaikin-zapirain about the average order elements of finite groups, int. j. group theory, to appear] we proved that every abelian group satisfies the average condition. in this paper, we classify minimal non-abelian groups which satisfy the average condition.
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کلیدواژه
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minimal non-abelian groups، group element orders، sum of element orders، average condition
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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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tooshmalaniziba@gmail.com
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