E xamples o of Groups The integers mod n under addition G=LN= the integers modulo N=(0.N-1) the group operator is"+ modular addition the integers modulo n are closed under addition the identity is 0 the inverse of x is-x addition is associative addition is commutative(so the group is abelianExamples of Groups The integers mod N under addition G = Z+ N = the integers modulo N = {0 … N-1} the group operator is “+”, modular addition • the integers modulo N are closed under addition • the identity is 0 • the inverse of x is -x • addition is associative • addition is commutative (so the group is abelian)