Volume 8, Issue 1 (Vol. 8,No. 1, 2022)                   mmr 2022, 8(1): 157-166 | Back to browse issues page

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THE STRUCTURE OF FINITE ABELIAN p-GROUPS BY THE ORDER OF THEIR SCHUR MULTIPLIERS
Mohsen Parvizi *1 , Peyman Niroomand2 , Afsaneh Mohammadpour Yengjeh2 , Saeed Kayvanfar3
1- shhadFerdowsi University of M , parvizi@um.ac.ir
2- Damghan University
3- shhadFerdowsi University of M
Abstract:   (1925 Views)
A well-known result of Green [4] shows for any finite p-group G of order p^n, there is an integer t(G) , say corank(G), such that |M(G)|=p^(1/2n(n-1)-t(G)) . Classifying all finite p-groups in terms of their corank, is still an open problem. In this paper we classify all finite abelian p-groups by their coranks.
 
Keywords: Finite abelian p-groups, Schur multiplier, corank
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Type of Study: Research Paper | Subject: alg
Received: 2019/08/10 | Revised: 2022/11/15 | Accepted: 2020/06/20 | Published: 2022/03/29 | ePublished: 2022/03/29
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