Base sizes of primitive groups of diagonal type
HY Huang - Forum of Mathematics, Sigma, 2023 - cambridge.org
Let G be a permutation group on a finite set with trivial pointwise stabiliser in G. In this paper,
we extend earlier work of Fawcett by determining the precise base size of every finite …
we extend earlier work of Fawcett by determining the precise base size of every finite …
On the generalised Saxl graphs of permutation groups
A base for a finite permutation group $ G\le\mathrm {Sym}(\Omega) $ is a subset of $\Omega
$ with trivial pointwise stabiliser in $ G $, and the base size of $ G $ is the smallest size of a …
$ with trivial pointwise stabiliser in $ G $, and the base size of $ G $ is the smallest size of a …
[HTML][HTML] On base sizes for primitive groups of product type
TC Burness, HY Huang - Journal of Pure and Applied Algebra, 2023 - Elsevier
Abstract Let G⩽ Sym (Ω) be a finite permutation group and recall that the base size of G is
the minimal size of a subset of Ω with trivial pointwise stabiliser. There is an extensive …
the minimal size of a subset of Ω with trivial pointwise stabiliser. There is an extensive …
On valency problems of Saxl graphs
J Chen, HY Huang - Journal of Group Theory, 2022 - degruyter.com
Let 𝐺 be a permutation group on a set Ω, and recall that a base for 𝐺 is a subset of Ω such
that its pointwise stabiliser is trivial. In a recent paper, Burness and Giudici introduced the …
that its pointwise stabiliser is trivial. In a recent paper, Burness and Giudici introduced the …