Math and science::Algebra::Aluffi
Groups. All orders divides order of maximal element
Order: divides order of maximal element
Let be a [something] group, and let
be an element with maximal finite order. Any other element with
finite order has an order that [has what relationship?].
The same statement cannot be made for non-comutative groups.
Can you remember the proof?
Maximal finite order
Let be an element of group . has
maximal finite order iff all other elements with finite order
have an order less than that of .