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(6) Recall that a subgroup of a group (G,*) is a subset HCG satisfying e H, h* h' H for all h, h' H,
(6) Recall that a subgroup of a group (G,*) is a subset HCG satisfying e H, h* h' H for all h, h' H, h- H for all h H. Determine all subgroups of Z/6Z. Hint: If H Z/6Z is a subgroup and h H then all multiples of h must be in H.
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To determine all subgroups of Z6Z we first note that ZZ6Z is a group under additi...
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Algebra Graduate Texts In Mathematics 73
Authors: Thomas W. Hungerford
8th Edition
978-0387905181, 0387905189
