1. Set S and a binary operation * on S will be specified. In each case, determine whether * is associative, whether * has an identity element and, if the latter is the case, whether each element of S has an inverse (with regard to *), i.e whether S is a group:
(a) S=3Z, the set of all integers that are multiples of 3, * = ordinary addition of integers
(b) S=Z, a*b=a+b-1
2. A table defines a binary operation * on the set S={a,b,c,d}. Is (s,*) a group? If not why?
If someone could please give me full working out and explinations I would really appreciate it.
Thanks
Don
2007-09-16
17:32:32
·
1 answers
·
asked by
Anonymous