http://i50.tinypic.com/2yud85t.png

I'm sure this is true. I'm not sure this is the only such subgroup, and I'm not sure this is the subgroup they're thinking of. What do you think?

If notation isn't clear:

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- May 25th 2010, 12:35 PMdavismjThe Center of a Group as the centralizer of a subgroup.
http://i50.tinypic.com/2yud85t.png

I'm sure this is true. I'm not sure this is the only such subgroup, and I'm not sure this is the subgroup they're thinking of. What do you think?

If notation isn't clear:

- May 25th 2010, 06:13 PMtonio
- May 25th 2010, 07:38 PMdavismj
Sorry, I meant for all g in G. That is, for any n that is not in any N(g). I think thats true, since if n is in N(g), ng = gn for some g in G, so the result is trivial.

Your answer is obvious. It's certainly true, but I hardly see why they'd want do highlight this particular point. But it is the most logical choice. - May 26th 2010, 03:47 AMtonio
- May 26th 2010, 07:05 AMdavismj