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Generalized Baer-Invariant of a Pair of Groups and the Direct Limit
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نویسنده
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Rismanchian M.R. ,Araskhan M.
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منبع
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journal of sciences islamic republic of iran - 2011 - دوره : 22 - شماره : 2 - صفحه:159 -164
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چکیده
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In this paper we introduce the concept of generalized baer-invariant of a pair of groups with respect to two varieties ν and ω of groups. we give some inequalities for the generalized baer-invariant of a pair of finite groups, when ν is considered to be the schur-baer variety. further, we present a sufficient condition under which the order of the generalized baer-invariant of a pair of finite groups divides the order of the generalized baer-invariant of a pair of their factor groups. moreover, we prove that the generalized baer-invariant of a pair of groups commutes with direct limit
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کلیدواژه
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Verbal and marginal subgroups; Generalized Baer-invariant; Pair of groups; Direct limit
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آدرس
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University of Shahre-Kord, Faculty of Sciences, Department of Mathematics, ایران, islamic azad university, Department of Mathematics, ایران
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Authors
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