A)Consider the set of all non-negative integers, with addition as the binary operation.Is this group? why or why not?
B)let G be a finte group . Show that there are an odd number of elements that satisfy the equation a^3 =e
hint:1)if a is one solution , a^-1 is another
2)a=a^-1 only if a=e
e alon with pairs of solution a.a^-1 b. b^-1. . . . . .
so prove 1 and 2 the hint is true ?