Is there a special term for groups, the only subgroups of which are the trivial group and the group itself? Obviously, any such group is a trivial group or a cyclic group of prime order.
Is there a special term for groups, the only subgroups of which are the trivial group and the group itself?
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group-theory
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5And in fact, "cyclic group of prime order" is the usual name for them. – 2012-03-15
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Yes. They're abelian simple groups, and yes, you've found them all.