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Absolutely simple group
From Wikipedia, the free encyclopedia
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In mathematics, in the field of group theory, a group is said to be absolutely simple if it has no proper nontrivial serial subgroups.[1] That is, is an absolutely simple group if the only serial subgroups of are (the trivial subgroup), and itself (the whole group).
In the finite case, a group is absolutely simple if and only if it is simple. However, in the infinite case, absolutely simple is a stronger property than simple. The property of being strictly simple is somewhere in between.
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