Gentle Introduction to Group Theory

Bana Al Subaiei is Associate Professor at the Department of Mathematics and Statistics, King Faisal University, Saudi Arabia. She earned her Master and Ph.D. degrees from the University of Southampton, United Kingdom. Al Subaiei has more than 10 years of experience in higher education during which she served in many committees at department, college and university levels. Her research interest includes group theory, semigroup theory, ring theory and graph theory. She has published research appears in several academic journals, including Mediterranean Journal of Mathematics and Communication in Algebra.Muneerah Al Nuwairan is Associate Professor at the Department of Mathematics and Statistics, King Faisal University, Saudi Arabia. She obtained her Master’s degree from King Faisal University, and then a Ph.D. degree in mathematics from the University of Ottawa, Canada. An active researcher in applied mathematics, she has been teaching mathematics since 1994. One of her main research interests is group theory.

• Background Results in Set Theory.- Algebraic Operations on Integers.- The Integers Modulo.- Semigroups.- Groups.- The Symmetric Group.- Subgroups.- Groups Homomorphisms and Isomorphic Groups.- Classification of Finite Abelian Groups.- Group Theory and SageMath.

“This extremely detailed book is aimed at students in the first years of university courses and … provide them with the background needed to the study of group theory. The topics covered are therefore very elementary, introduced in detail, accompanied by various examples that allow you to connect the topic to different sectors of mathematics and by numerous exercises both carried out and left to the reader. At the end of each chapter references are also suggested for further information.” (Chiara Nicotera, zbMATH 1530.20001, 2024)