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What is Group Theory Homework Assignment 9 about?

1) The order of every element in Z2 × Z4 and Z2 × Z3 must be found. Z2 × Z4 is cyclic while Z2 × Z3 is not. 2) The order of an element (a, b) in Zn × Zm is the least common multiple (lcm) of the orders of a and b. 3) Zn × Zm is cyclic if and only if the greatest common divisor (gcd) of n and m is 1.

Author

Lily Hellings

Language

EN