The material presented here can be divided into two parts. The first, sometimes referred to as abstract algebra, is concerned with the general theory of algebra

After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently

" This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental

" A group is defined by means of the laws of combinations of its symbols," according to a celebrated dictum of Cayley. And this is probably still as good a one-

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in