3 ms·
"Recall that every group has a zero element that, when added to any other number, leaves that number unchanged" not so fast.
by Modj 9y ago
"Recall that every group has a zero element that, when added to any other number, leaves that number unchanged" not so fast.
- msds 9y agoUh, up to notation, a group better have such an element - otherwise it isn't a group!
- chowells 9y agoYou're right, but phrasing things in terms of addition and zero is possibly taking some liberties with the definition of group. Even if additive groups and general groups are isomorphic, I agree it's a bit misleading to use additive group naming to provide a lay definition of "group".