|Apr18-05, 06:14 PM||#1|
Intersection of cyclic subgroups
This time I need a yes/no answer (but a definitive one!):
Suppose we have a group of finite order G, and two cyclic subgroups of G named H1 and H2. I know the intersection of H1 and H2 is also a subground of G, question is - is it also cyclic? And can I tell who is the creator of it, suppose I have the creators of H1 and H2?
|Apr18-05, 08:10 PM||#2|
Cyclic is easy. The intersection of H1 and H2 is a subgroup of H1. Subgroups of cyclic groups are cyclic.
|Apr19-05, 01:00 PM||#3|
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