Automorphism-invariant modules have emerged as a linchpin in the study of modern algebra, especially in the context of module theory over noncommutative rings. These modules are defined by the ...

Informally, a dynamic system is any physical system that evolves with time (e.g., a pendulum, a planet orbiting the sun, the weather, etc). From a more mathematically precise perspective, one can ...

Recent advances in the study of automorphism groups within graph theory have yielded significant theoretical and applied insights. At its core, the interplay between the algebraic structure of groups ...

Let Γ be the automorphism group of a nonelementary reduced abelian p-group, p ≥ 5. It is shown that every noncentral normal subgroup of Γ contains a noncentral elementary abelian normal p-subgroup of ...