a note on locally soluble almost subnormal subgroups in divsion rings
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نویسنده
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huu dung truong
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منبع
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international journal of group theory - 2021 - دوره : 10 - شماره : 1 - صفحه:39 -46
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چکیده
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Let 𝐷 be a division ring with center f and assume that n is a locally soluble almost subnormal subgroup of the multiplicative group 𝐷^∗ of 𝐷. we prove that if 𝑁 is algebraic over f, then 𝑁 is central. this answers partially [11, conjecture 1].
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کلیدواژه
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division ring، almost subnormal subgroup، locally soluble
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آدرس
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vnuhcm-university of science, faculty of mathematics and computer science, vietnam
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پست الکترونیکی
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l: thdung@dnpu.edu.vn; dungth0406@gmail.com
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