SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP
Publish place: Journal of Algebraic Systems، Vol: 7، Issue: 2
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-7-2_001
تاریخ نمایه سازی: 18 آذر 1398
Abstract:
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.
Keywords:
Complement of the intersection graph of subgroups of a finite group , finite abelian group , connected graph , girth of a graph
Authors
S. Visweswaran
Department of Mathematics, Saurashtra University P.O.Box ۳۶۰ ۰۰۵, Rajkot, India.
P. Vadhel
Department of Mathematics, Saurashtra University P.O.Box ۳۶۰ ۰۰۵, Rajkot, India.