No. Sorry if this muddied the water. It was just also irritating me that I couldn't remember what the property I was describing was called.
I'm in a situation where other people need to be convinced that establishing that the shared property I described (and which you clarified correctly in...
Hi,
I recall being told in an algebra course in college that there exist groups with matching order tables and that are nonetheless not isomorphic. That is, if you list out the orders of all the elements in one group and all the orders of the elements in the other, the lists are "the same"...