Parvizi M, Niroomand P, Mohammadpour Yengjeh A, Kayvanfar S. THE STRUCTURE OF FINITE ABELIAN p-GROUPS BY THE ORDER OF THEIR SCHUR MULTIPLIERS. mmr 2022; 8 (1) :157-166
URL:
http://mmr.khu.ac.ir/article-1-2988-en.html
1- shhadFerdowsi University of M , parvizi@um.ac.ir
2- Damghan University
3- shhadFerdowsi University of M
Abstract: (1445 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.
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