The Intersection Graph of a Finite Moufang Loop
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
The intersection graph ΓSI (G) of a group G with identity element e is the graph whose vertex set is the set V (ΓSI (G)) = G − e and two distinct vertices x and y are adjacent in ΓSI (G) if and only if |hxi ∩ hyi| > 1, where hxi is the cyclic subgroup of G generated by x. In this paper, at first we obtain some results for this graph for any Moufang loop. More specially we observe non-isomorphic finite Moufang loops may have isomorphic intersection graphs.
Keywords:
Language:
English
Published:
Journal of Mathematical Extension, Volume:14 Issue: 2, Spring 2020
Pages:
81 to 90
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