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Thread: nonabelian simple finite group

  1. #1 nonabelian simple finite group 
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    Let be a finite group.
    A group is simple if the only normal subgroups of are the identity and .
    What does mean for a group to be nonabelian simple group?
    What does mean for a group to be not nonabelian simple group?


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  3. #2  
    Forum Professor river_rat's Avatar
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    homework?


    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
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  4. #3  
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    Sorry, it is not a homework, but I have some confusion about those two terms.
    This is what I think.
    Nonabelian simple means G is simple but G is not abelian.
    Not nonabelian simple means G is not simple or G is abelian. That is G has a nontrivial proper normal subgroup or G is abelian
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  5. #4  
    Forum Professor river_rat's Avatar
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    that looks fine to me
    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
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  6. #5  
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    Thank you very much.
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