Remark on subgroup intersection graph of finite abelian groups

• Published in: Open mathematics (Warsaw, Poland) Vol. 18; no. 1; pp. 1025 - 1029
• Main Authors: Zhao, Jinxing, Deng, Guixin
• Format: Journal Article
• Language: English
• Published: Warsaw De Gruyter 18.09.2020; De Gruyter Poland
• Subjects: 05C25; Apexes; finite abelian group; Graph theory; Group theory; Intersections; isomorphic; subgroup intersection graph; Subgroups

Let be a finite group. The subgroup intersection graph of is a graph whose vertices are non-identity elements of and two distinct vertices and are adjacent if and only if , where is the cyclic subgroup of generated by . In this paper, we show that two finite abelian groups are isomorphic if and only...