A graph Γ is said to be locally (G, 2)-arc transitive for G a subgroup of Aut(Γ) if, for any vertex α of Γ, G is transitive on the 2-arcs of Γ starting at α. In this talk, we will discuss general results involving locally (G, 2)-arc transitive graphs and recent progress toward the classification of the locally (G, 2)-arc transitive graphs, where Sz(q) ≤ G ≤ Aut(Sz(q)), q = 2 for some k ∈ N. In ...

We determine, up to isomorphism, the number of abstract regular polyhedra whose automorphism group is a Suzuki simple group Sz(q) with q an odd power of 2.

We give a characterization of the Deligne-Lusztig curve associated to the Suzuki group Sz(q) based on the genus and the number of Fq-rational points of the curve. §0. Throughout this paper by a curve we mean a projective, geometrically irreducible, and non-singular algebraic curve defined over the finite field Fq with q elements. Let Nq(g) denote the maximum number of Fq-rational points that a ...

The Suzuki-Miyaura coupling of aryl nitriles with aryl/alkenyl boronic esters is reported. With this method, the cyano group could be applied as a protecting group of arenes and finally as a leaving group to further construct polyaryl scaffolds.

In this note, we define the class of finite groups of Suzuki type, which are non–abelian groups of exponent 4 and class 2 with special properties. A group G of Suzuki type with |G| = 22s always possesses a non–trivial difference set. We show that if s is odd, G possesses a central difference set, whereas if s is even, G has no non–trivial central difference set.

Glycine, as a kind of commercially available and inexpensive ligand, is used to prepare an air-stable and water-soluble catalyst for the Suzuki-Miyaura reaction in our study. In the presence of 0.1% [PdCl2(NH2CH2COOH)2] as the catalyst, extremely excellent catalytic activity towards the Suzuki-Miyaura coupling of aryl halides containing the carboxyl group with various aryl boronic acids is obse...

In this paper, we study the recently proposed encryption scheme MST3, focusing on a concrete instantiation using Suzuki-2-groups. In a passive scenario, we argue that the one wayness of this scheme may not, as claimed, be proven without the assumption that factoring group elements with respect to random covers for a subset of the group is hard. As a result, we conclude that for the proposed Suz...