Ciro Santilli
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Simple group
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Normal subgroup
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nosplit
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45
Does not have any non-trivial
normal subgroup
.
And therefore, going back to our intuition that due to the
fundamental theorem on homomorphisms
there is one normal group per homomorphism, a simple group is one that has no non-trivial homomorphisms.
Table of contents
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How to show that a group is simple
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Simple group
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