Exercise 3.5.2 Suppose that G, G' are finite groups and T:G→G' is a group homomor- phism. Show that the order |T(g)| divides the order |g|, for all gE G.
Exercise 3.5.2 Suppose that G, G' are finite groups and T:G→G' is a group homomor- phism. Show that the order |T(g)| divides the order |g|, for all gE G.
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 13E: Exercise 8 states that every subgroup of an abelian group is normal. Give an example of a nonabelian...
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