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Khoramshahi K, Zarrin M. SOME NEW INDICES IN A GROUP AND SOME RELATIONS BETWEEN THESE INDICES AND THE SET OF ITS CENTRALIZERS. mmr 2024; 10 (1)
URL: http://mmr.khu.ac.ir/article-1-3206-en.html
URL: http://mmr.khu.ac.ir/article-1-3206-en.html
SOME NEW INDICES IN A GROUP AND SOME RELATIONS BETWEEN THESE INDICES AND THE SET OF ITS CENTRALIZERS
1- University of Kurdistan , kh.khoramshahi@sci.uok.ac.ir
2- University of Kurdistan
2- University of Kurdistan
Abstract: (55 Views)
A group is said to be a minimal simple group if it is a simple non-abelian group and every proper subgroup of it is solvable. For any group G denotes Cent(G) , the set of all centralizers of G .Group G is called Cn-group if |Cent(G)|=n . In this paper, we will define new indices in groups and will find a relation between these indices and Cent(G) in minimal simple groups.
Type of Study: Original Manuscript |
Subject:
alg
Received: 2021/06/21 | Revised: 2022/05/22 | Accepted: 2022/08/30 | Published: 2024/01/8 | ePublished: 2024/01/8
Received: 2021/06/21 | Revised: 2022/05/22 | Accepted: 2022/08/30 | Published: 2024/01/8 | ePublished: 2024/01/8
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