This story is a supplement to the feature "Rubik's Cube Inspired Puzzles Demonstrate Math's "Simple Groups"" which was printed in the July 2008 issue of Scientific American. All three new puzzles ...

Group theory, a cornerstone of modern algebra, provides a framework to explore the structure, symmetry, and internal operations of sets endowed with a binary operation. Central to this discipline is ...

Group Theory and Ring Theory form two enduring pillars of modern algebra, each offering profound insights into symmetry, structure, and operations. Group Theory focuses on the study of sets equipped ...