How to find (describe) all groups which have 3 conjugacy classes?
Thanks in advance!
group-theory
asked 2012-12-26
user id:54274
36
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$|Z(G)| \leq 3$. So there is not any p-Group with $p \not= 3$. I'll try to obtain more. – 2012-12-26
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It's good to post the work you've done up until now, whenever you post a question. – 2012-12-26
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I would guess that this is very difficult (probably impossible) for infinite groups. There are many infinite groups with just two conjugacy classes. Perhaps the exercise was just about finite groups? – 2012-12-26