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On the Capability of Finite Abelian Pairs of Groups
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نویسنده
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حکم آبادی اعظم ,افکن پور مرضیه ,کیوانفر سعید
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منبع
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journal of mathematical extension - 2015 - دوره : 9 - شماره : 2 - صفحه:1 -8
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چکیده
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A group g is called capable if it is isomorphic to thegroup of inner automorphisms of some group h. the notion of capablegroups was extended to capable pairs by g. ellis, in 1996. recently,a classification of capable pairs of finite abelian groups was given bya. pourmirzaei, a. hokmabadi and s. kayvanfar. in this paper, wegive a different characterization of capable pairs of finite abelian groupsin terms of a condition on the lattice of subgroups
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کلیدواژه
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Capability ,pairs of groups ,finite abelian groups
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آدرس
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payame noor university, ایران, ferdowsi university of mashhad, ایران, ferdowsi university of mashhad, ایران
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پست الکترونیکی
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skayvanf@math.um.ac.ir
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Authors
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