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on relative central extensions and covering pairs
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نویسنده
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pourmirzaei azam ,hassanzadeh mitra ,mashayekhy behrooz
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منبع
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journal of algebraic systems - 2016 - دوره : 4 - شماره : 1 - صفحه:1 -13
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چکیده
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Abstract. let (g;n) be a pair of groups. in this paper, rstly,we construct a relative central extension for the pair (g;n) suchthat special types of the covering pair of (g;n) are the homomor-phic image of it. secondly, we show that every perfect pair admitsat least one covering pair. finally, among extending some proper-ties of perfect groups to perfect pairs, we characterize the coveringpairs of a perfect pair (g;n) under some extra assumptions.
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کلیدواژه
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pair of groups ,covering pair ,relative central extension ,isoclinism of pairs of groups.
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آدرس
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hakim sabzevari university, ایران, ferdowsi university of mashhad, ایران, ferdowsi university of mashhad, ایران
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Authors
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