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 ...

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 ...

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 ...

We show that the 'tail' of a doubly homogeneous chain of countable cofinality can be recognized in the quotient of its automorphism group by the subgroup consisting of those elements whose support is ...

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 ...

The theory of totally disconnected locally compact (t.d.l.c.)~groups has advanced considerably in recent years. Lie groups over the valued fields ℚ p of p-adic numbers and 𝔽 q ((X)) of formal Laurent ...