Mwhite4348 Posted September 22, 2005 Share Posted September 22, 2005 I am new here, so I do not really understand how this forum thing works yet, so bare with me. When you are identifying whether something is a subgroup of a group (I can do that part), how do you give a "complete list of all subgroup relations?" I keep thinking that this is the skeleton diagram. i.e. Z4 - {0} - {0,2} That is an example that our professor gave in class, but I am not sure that I understand that very well either. I do, however, understand that Z4 is modulo 4, but how does the {0} and (0,2} get pulled out? There are many more relations. Link to comment Share on other sites More sharing options...
matt grime Posted September 22, 2005 Share Posted September 22, 2005 None of the terms you use is standard. Indeed, I can't decide what you mean and I'm a group theorist. Are you asking for all subgroups of a given group? Well, obviously {0} is a subgroup of Z_4, as is {0,2}, and there can be no other subgroups for many reasons (simplest is because if the subgroup contained 1 or -1 then it is the whole of Z_4). What exactly do you mean be "realations"? what do the - symbols you've used signify? Link to comment Share on other sites More sharing options...
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