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 ...

Algebraic varieties and their automorphism groups lie at the heart of modern algebraic geometry, intertwining deep theoretical concepts with practical applications. Algebraic varieties, defined as 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 ...

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 ...

We study automorphism groups of randomizations of separable structures, with focus on the ℵ₀-categorical case. We give a description of the automorphism group of the Borel randomization in terms of ...