Unformatted text preview: G . When is this map a homomorphism? 4. Let A and B be subgroups of G . When is A ∪ B a subgroup of G ? 5. Let G be a group having no proper subgroups. Show that G is cyclic, ﬁnite and of prime order. 6. Let S be a proper subgroup of G (i.e. S 6 = { e } and S 6 = G .) Show that the subgroup generated by the set GS = G . 1...
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This note was uploaded on 07/17/2008 for the course MATH 787 taught by Professor Joshua during the Summer '08 term at Ohio State.
 Summer '08
 JOSHUA
 Math, Algebra, Group Theory

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