Word Count : 202

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Let (G = \langle g \rangle) be a cyclic group and let (H) be a non-trivial subgroup of (G). Since (G) is cyclic, every element of (G) can be written as (g^n) for ______ __________ ________ _________ ___.
__________ ________ __________ __________ ____.
_______ ______ _____ ________ ___ __________ __________ ____ ___ _________.
________ _____ ___ __________ ___ ________ _____ ____.
___ _________ ____ __________ ___.
_______ __________ ___ __________ _____ _________ _______.
___ _______ _____ _________ ______ _________.
________ ________ ______ _____ __________ ____ _____ ____.
______ ______ _________ _________ ___ ________ __________ ___ _____.
__________ ________ __________ ______ _____ _____ ________.
______ ________ ____ _______ ________ ______ ______ _____.
________ _______ ______ __________ ____ _________ __________ _____ ______ __________.
____ _____ _____ _________ ___ ______.
____ __________ _________ _____ _________ ________ ___ ____ _______ _______ _________.
______ _____ _____ _____ _____ ________ ____ ____ ____.
_________ ____ ___ ________ __________ ________ ________ ___.
_________ __________ __________ ___ _______ __________.
___ _____ ____ ___ __________ ____ _______.
_____ __________ ____ _____ ______.
__________ _______ ______ _________ ____ _____ ________ ___ _____ ______.
_______ ____ ______ _________ _____ ___ ________.
___ _________ _____ _________ _________ __________ ______ __________ _________ ________.
_________ ________.
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