Although (H,*) and (K,*) are subgroup of a group (G,) then (H * K,*) may field to be subgroup of (G, ) see the following example
Although (H,*) and (K,*) are subgroup of a group (G,) then (H * K,*) may field to be subgroup of (G, ) see the following example
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 18E: 18. If is a subgroup of , and is a normal subgroup of , prove that .
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