Group theory is the mathematical study of symmetry and structure, forming one of the cornerstones of modern algebra. Emerging from early investigations into polynomial equations and the permutations ...

Group theory serves as a fundamental language for describing symmetry in both mathematics and physics. Finite groups, defined by their limited number of elements, are central to modern algebra and ...

There is an anti-Ramsey theorem for inhomogeneous linear equations over a field, which is essentially due to R. Rado [2]. This theorem is generalized to groups to get sharper quantitative and ...

It's been more than 20 years since Rubik's Cube, the maddening, multicolored brainchild of a Hungarian architect teacher, hit the American market full force. Now, two decades after the cube craze ...

A survey of contemporary topics in mathematics such as: voting systems and power, apportionment, fair division of divisible and indivisible assets, efficient distribution, scheduling and routing, ...