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 ...

Equivariant maps inducing an equivalence of the categories of components of the fixed point sets of topologically cyclic subgroups are considered. It is shown that they are the same as those inducing ...

Supercharacter theory offers a tractable refinement of classical character theory by consolidating characters and conjugacy classes into supercharacters and superclasses. Initially conceptualised to ...

We calculate the coefficient groups of equivariant K-theory for any cyclic group, and we proved that, for any compact Lie group, the coefficient groups can only have 2-torsion. If there is any ...