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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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