Remark on subgroup intersection graph of finite abelian groups
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Abstract Let G be a finite group. The subgroup intersection graph \text{Γ}(G) of G is a graph whose vertices are non-identity elements of G and two distinct vertices x and y are adjacent if and only if |\langle x\rangle \cap \langle y\rangle |\gt 1 , where \langle x\rangle is the cyclic subgroup of G generated by x. In this paper, we show that two finite abelian groups are isomorphic if and only if their subgroup intersection graphs are isomorphic.
1979 ◽
Vol 20
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pp. 57-70
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1969 ◽
Vol 21
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pp. 684-701
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2013 ◽
Vol 88
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pp. 448-452
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2015 ◽
Vol 08
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pp. 1550070
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2019 ◽
Vol 19
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pp. 2050198
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2016 ◽
Vol 15
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pp. 1650040
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1996 ◽
Vol 16
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pp. 45-50
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