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ON THE ORDER OF THE SCHUR MULTIPLIER OF A PAIR OF FINITE p-GROUPS II
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نویسنده
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Mohammadzadeh Fahimeh ,Hokmabadi Azam ,Mashayekhy Behrooz
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منبع
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international journal of group theory - 2013 - دوره : 2 - شماره : 3 - صفحه:1 -8
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چکیده
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Let g be a finite p-group and n be a normal subgroup of g with jnj = pn and jg=nj = pm.a result of ellis (1998) shows that the order of the schur multiplier of such a pair (g;n) of finite p-groups is bounded by p12 n(2m+n-1) and hence it is equal to p12n(2m+n-1)-t for some non-negative integert. recently, the authors have characterized the structure of (g;n) when n has a complement in gand t 3. this paper is devoted to classification of pairs (g;n) when n has a normal complement ing and t = 4; 5.
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کلیدواژه
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Pair of groups ,Schur multiplier ,Finite p-groups
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آدرس
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payame noor university, ایران, payame noor university, ایران, ferdowsi university of mashhad, ایران
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پست الکترونیکی
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bmashf@um.ac.ir
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Authors
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