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on non-closure degree for finite groups
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نویسنده
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suleiman aliyu ,mohd ali nor muhainiah ,kiri aliyu ibrahim
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منبع
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journal of algebra and related topics - 2025 - دوره : 13 - شماره : 2 - صفحه:109 -117
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چکیده
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The non-closure degree for a finite group $g$ has to do with obtaining a probability of selecting any pair of elements $x, y in g$ such that $xy notin h$, where $h$ is normal in $g$. it is shown in the paper that the probability lies in the interval $[ 0 , frac{|g| - 1}{|g|}$ ), with the result as 0 if and only if $h=g$. illustrations were done using both abelian and non-abelian groups relative to their normal subgroups.
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کلیدواژه
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finite group ,normal subgroup ,closure property of a group ,quotient group
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آدرس
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air force institute of technology, department of mathematics, nigeria, universiti teknologi malaysia, department of mathematical sciences, malaysia, bayero university, department of mathematical sciences, nigeria
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پست الکترونیکی
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aikiri.mth@buk.edu.ng
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Authors
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