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Let H1,H2 be subgroups of a group Gand assume that H1 U H2 = G . Show that G= H1 or G= H2 . Does

Let H1,H2 be subgroups of a group Gand assume that H1 U H2 = G . Show

that G= H1 or G= H2 . Does a similar statement hold for the identity G=

H1 U H2 U H3 ?

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