Supersymmetry and the Suzuki chain

Extended Generalized Hexagons and the Suzuki Chain

Four extended generalized hexagons related to the simple groups G2(2)', PSU4(3), HJ and Suz are characterized by the condition that any triple of points {x, y, z) is a clique of the point graph not in a circle of the extended hexagon if and only if the distance of y and z in the residue at x is 3.

Nested Symmetric Representation of Elements of the Suzuki Chain Groups

We demonstrate an economic and concise method for representing the elements of groups involved in the Suzuki chain. For example, we represent each element of Suz : 2 by a permutation on 14 letters from L3(2) : 2 followed by four words, each of length at most two, in 14, 36, 100, and 416 involutory symmetric generators, respectively. Such expressions will have an obvious advantage over permutati...

Suzuki-invariant codes from the Suzuki curve

In this paper we consider the Suzuki curve y + y = x0(x + x) over the field with q = 2 elements. The automorphism group of this curve is known to be the Suzuki group Sz(q) with q(q − 1)(q + 1) elements. We construct AG codes over Fq4 from a Sz(q)-invariant divisor D, giving an explicit basis for the Riemann-Roch space L(lD) for 0 < l ≤ q − 1. These codes then have the full Suzuki group Sz(q) as...

Chain-Growth Suzuki Polymerization of n-Type Fluorene Copolymers

Kaori Suzuki

This paper considers Q-Fano 3-folds X with ρ = 1. The aim is to determine the maximal Fano index f of X. We prove that f ≤ 19, and that in case of equality, the Hilbert series of X equals that of weighted projective space P(3, 4, 5, 7). We also consider all possibility of X for f ≥ 9. 0. Introduction We say that X is a Q-Fano variety if it has only terminal singularities, the anticanonical Weil...