What is the order of the element $(\overline{2}, \overline{9})$ in $Z_{4} \times U_{10}$ is ( $Z_{4}$ is the additive group modulo 4 and $U_{10}$ is Euler group)
What is the order of the element $(\overline{2}, \overline{9})$ in $Z_{4} \times U_{10}$ is ( $Z_{4}$ is the additive group modulo 4 and $U_{10}$ is Euler group)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.7: Direct Sums (optional)
Problem 7E: Write 20 as the direct sum of two of its nontrivial subgroups.
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What is the order of the element $(\overline{2}, \overline{9})$ in $Z_{4} \times U_{10}$ is ( $Z_{4}$ is the additive group modulo 4 and $U_{10}$ is Euler group)
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