SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP

Autor: S. Visweswaran, P. Vadhel
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Algebraic Systems, Vol 7, Iss 2, Pp 105-130 (2020)
Druh dokumentu: article
ISSN: 2345-5128
2345-511X
DOI: 10.22044/jas.2018.5917.1296
Popis: 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.
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