Hi it is about abstract algebra

Documentul - ' ' CEsarlzqu do i E 7 ljl mm 17 13 1.Show that if a group has an even number of elements then there exists an element A other than unity such that A " A = 1. Suggestion, list the elements of group 6, notice that removing the identity you have a odd number of elements. Each element has its inverse. Suppose a and a 1 are different 2. Construct Caley's table of a group of commutative order 6 and in copies of Caley's table you must color the subgroups that it has (one table per group). You can use the following table as a basis: The suggestion is to imitate the example for abelian group with 5 elements ,0 Escribe aqui para buster