Problem 4. Let G be a group, and suppose that g € G satisfies |g| = n < ∞. Find the order of the element gk for any k € Z+. Hint: |gk| will depend on k and n.

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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Problem 4. Let G be a group, and suppose that g € G satisfies |g| = n < ∞. Find
the order of the element gk for any k € Z+.
Hint: |gk| will depend on k and n.
Transcribed Image Text:Problem 4. Let G be a group, and suppose that g € G satisfies |g| = n < ∞. Find the order of the element gk for any k € Z+. Hint: |gk| will depend on k and n.
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