TY - JOUR ID - 1583 TI - SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Visweswaran, S. AU - Vadhel, P. AD - Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India. Y1 - 2020 PY - 2020 VL - 7 IS - 2 SP - 105 EP - 130 KW - Complement of the intersection graph of subgroups of a finite group KW - finite abelian group KW - connected graph KW - girth of a graph DO - 10.22044/jas.2018.5917.1296 N2 - Let G be a group. Recall that the intersection graph of subgroups of G is an undirected graph whose vertex set is the set of all nontrivial subgroups of G and distinct vertices H,K are joined by an edge in this graph if and only if the intersection of H and K is nontrivial. The aim of this article is to investigate the interplay between the group-theoretic properties of a finite group G and the graph-theoretic properties of the complement of the intersection graph of subgroups of G. UR - https://jas.shahroodut.ac.ir/article_1583.html L1 - https://jas.shahroodut.ac.ir/article_1583_a9bb297705f77d5027f78b0e6762e92e.pdf ER -