The author has completed B. Sc(Honours) and M. S. from a renowned university of Bangladesh, 'University of Dhaka'. She is currently working as a lecturer in BRAC University. She has a great interest in research area. She has thought that researchers will find this book very useful as it has contained all the basic ideas of free groups. She has tried to make the book easy to all learners, so she has provided related theorems and their proofs. In addition, she has included some solved problems related to the topics. She has also planned to provide more and more substantial topics with elaborate discussions in future.