Consider the group D4 and the subgroup {I, F}. List all the left cosets of H (with all the elements in each), indicating which are equal. Then, list all the right cosets of H.

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 2E: For each of the following subgroups H of the addition groups Z18, find the distinct left cosets of H...
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Consider the group D4 and the subgroup {I, F}. List all the left cosets of H (with all the
elements in each), indicating which are equal. Then, list all the right cosets of H. 

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