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 -