What type of study is this?

September 10, 2025Open Access

Full Automorphism Group of (m, 2)-Graph in Finite Classical Polar Spaces

Key Points

The study determines the full automorphism group of the (m, 2)-graph in finite classical polar spaces.
Vertices in the (m, 2)-graph represent m-dimensional subspaces, with edges defined by subspace dimension criteria.
Adjacent vertices denote that the sum of two m-dimensional subspaces results in an (m + 2)-dimensional subspace.
The findings enhance understanding of the automorphism group's role within the structure of polar spaces.

Abstract

Let Q be the finite classical polar space of rank ν≥1 over Fq, and Qm be the set of all m-dimensional subspaces of Q. In this paper, we introduce the (m, 2)-graph with Qm as its vertex set, and two vertices P, Q are adjacent if and only if P + Q is an (m + 2)-dimensional subspace of Q. The full automorphism group of (m, 2)-graph is determined.

Read Full Paperexternally

Perguntar à IA

Bookmark

View Full Paper

Cite This Study

Yan et al. (Wed,) studied this question.

synapsesocial.com/papers/68c1c62f54b1d3bfb60f1d58 https://doi.org/https://doi.org/10.3390/axioms14080614

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Perguntar à IA

Bookmark

View Full Paper