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probability of normality of chains in finite groups
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نویسنده
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sajedi mostafa ,rajabzadeh moghaddam mohammad reza ,darabi hamid
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منبع
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journal of mathematical extension - 2023 - دوره : 17 - شماره : 4 - صفحه:1 -14
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چکیده
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In this paper we introduce the concept of probability of normality of chains in finite groups. for any normal subgroup n of a finite group g, the relation between the probability of normality of chains of g and of its factor group g/n are obtained. finally, we give explicit formulas for such probability of dihedral groups d2n, quasi-dihedral groups qd2n , generalized quaternion groups q2n , and the modular p-groups mpn .
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کلیدواژه
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probability of normality ,dihedral groups ,generalized quaternion groups ,modular p-groups
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آدرس
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islamic azad university, mashhad branch, department of mathematics, iran, khayyam university, department of mathematics, iran. ferdowsi university of mashhad, centre of excellence in analysis on algebraic structures (ceaas), department of pure mathematics, iran, esfarayen university of technology, department of mathematics, iran
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پست الکترونیکی
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darabi@esfarayen.ac.ir
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Authors
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