Automorphism groups, which comprise the set of graph self-isomorphisms preserving vertex connectivity, serve as a bridge linking symmetries in discrete structures to more general group actions.

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 article describes an improved implementation of the encryption scheme based on the automorphism group of Ree function field. Our proposal is to use the Ree function field automorphism group to ...

In this paper, we apply automorphism group of the rational function field to construct optimal locally repairable codes by considering the group action on projective lines over finite fields.

The paper is devoted to the study of free objects in the variety of Steiner loops and of the combinatorial structures behind them, focusing on their automorphism groups. We prove that all ...

In this paper, we determine the derivation algebra and the automorphism group of the original deformative Schrödinger-Virasoro algebra, which is the semi-direct product Lie algebra of the Witt algebra ...

Mar 26, 2025 The McGee group is one of the two smallest groups with an outer automorphism that preserves conjugacy classes. My route to understanding this fact was a long and winding one ...