Can a group have repeating elements?

[blahblah8724]

Can a group, G, have repeating elements? And if so does the order of G include these repeated elements?

Thanks!

 

[Stephen Tashi]

Can a group, G, have repeating elements? And if so does the order of G include these repeated elements?

Thanks!

You should define what you mean by "repeating elements".

Among other things, a group is a set. When you consider the cardinality of a set that is given by a list of things, you don't count the same thing as being more than one element when it appears more than once in the list. Is that what you're asking?