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Find all proper nontrivial subgroups of Z, x Z, x Z. Find all subgroups of Z; x Z4 of order 4.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.4: Cosets Of A Subgroup

Problem 12E: Let H and K be subgroups of a group G and K a subgroup of H. If the order of G is 24 and the order...

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Find all roper nontrivial subgroups of Z; x Z, x Z,.
Find all subgroups of Z; x Z4 of order 4.
Find all subgroups of Z, x Z, x Z, that are isomorphic to the Klein 4-group.

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