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Unique Normal Subgroups

by brownnrl
Tags: normal, subgroups, unique
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brownnrl
#1
Dec5-06, 04:53 PM
P: n/a
Our professor posed this question, and I'm having a very difficult time with it.

If you have a unique subgroup H of G such that H is of order 10 or 20, then H is a normal subgroup. How can you generalize this?

If you have the time to give some hints or suggestions, I'd appreciate it.

-Nelson
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brownnrl
#2
Dec5-06, 04:55 PM
P: n/a
Quick note: By stating that theorem, he meant prove it for orders of 10 or 20, then generalize the findings.


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