Some Inequalities for the Order of the Schur Multiplier of a Pair of Groups |
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| Authors: | Mohammad Reza R Moghaddam Ali Reza Salemkar Taghi Karimi |
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| Institution: | 1. Faculty of Mathematical Sciences , Ferdowsi University of Mashhad, and Centre of Excellence in Analysis on Algebraic Structures , Mashhad, Iran mrrm5@yahoo.ca;3. Department of Mathematics , Shahid Beheshti University , Tehran, Iran;4. Department of Mathematics , Islamic Azad University of Torbate Jam , Chenaran, Iran |
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| Abstract: | Let (H, N) be a pair of finite p-groups, in which N is a normal subgroup of H. In the present article, some upper bounds for the order of the commutator subgroup N, H] are given. It is also constructed an upper bound for the order of the Schur multiplier of the pair of finite p-groups. |
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| Keywords: | Covering pair Pair of groups Schur multiplier |
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