- #1
Bashyboy
- 1,421
- 5
Hello everyone,
I am trying to understand the proof given in this link:
https://proofwiki.org/wiki/Subgroup_of_Cyclic_Group_is_Cyclic
I understand everything up until the part where they conclude that ##r## must be ##0##. Their justification for this is, that ##m## is the smallest integer, and so this forces ##r=0##. Is it not possible that ##m=3## could be the smallest integer? Couldn't ##r## then be ##2##?
I am trying to understand the proof given in this link:
https://proofwiki.org/wiki/Subgroup_of_Cyclic_Group_is_Cyclic
I understand everything up until the part where they conclude that ##r## must be ##0##. Their justification for this is, that ##m## is the smallest integer, and so this forces ##r=0##. Is it not possible that ##m=3## could be the smallest integer? Couldn't ##r## then be ##2##?
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