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RESTRICTIONS ON COMMUTATIVITY RATIOS IN FINITE GROUPS
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نویسنده
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هفرنان رابرت ,ماچال دس ,نی شی آنیه
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منبع
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international journal of group theory - 2014 - دوره : 3 - شماره : 4 - صفحه:1 -12
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چکیده
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We consider two commutativity ratios pr(g) and f(g) in a finite group g and examinethe properties of g when these ratios are `large'. we show that if pr(g) > 724 , then g is metabelianand we give threshold results in the cases where g is insoluble and g0 is nilpotent. we also show thatif f(g) > 12 , then f(g) = n+12n , for some natural number n.
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کلیدواژه
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Commutativity ratios ,commuting probability ,finite groups
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آدرس
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University of Connecticut, Department of Mathematics, University of Connecticut, Storrs, USA, USA, University College Cork Cork, Department of Mathematics, University College Cork Cork, Ireland, Ireland, Cork Institute of Technology Cork, Department of Mathematics, Cork Institute of Technology Cork, Ireland, Ireland
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پست الکترونیکی
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aine.nishe@cit.ie
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Authors
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