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Probability of Having N^Th-Roots and N-Centrality of Two Classes of Groups
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نویسنده
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Hashemi M. ,Polkouei M.
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منبع
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Journal Of Linear And Topological Algebra - 2016 - دوره : 5 - شماره : 1 - صفحه:55 -62
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چکیده
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In this paper, we consider the finitely 2-generated groups k(s,l) and g_m as follows; k(s,l)=‹ a,b|ab^s=b^la, ba^s=a^lb›, g_m=‹ a,b|a^m=b^m=1, [a,b]^a=[a,b], [a,b]^b=[a,b]› and find the explicit formulas for the probability of having n^th-roots for them. also, we investigate integers n for which, these groups are n-central.
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کلیدواژه
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Nilpotent Groups ,N^Th-Roots ,N-Central Groups
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آدرس
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University Of Guilan, Faculty Of Mathematical Sciences, Iran, University Of Guilan, Faculty Of Mathematical Sciences, Iran
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پست الکترونیکی
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mikhakp@yahoo.com
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Authors
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