Inspired by a recent paper of Garcia, Stichtenoth and Xing [2000, Compositio Math. 120, 137–170], we investigate the quotient curves of the Deligne-Lusztig curve associated to the Suzuki group Sz(q).

We analyse the rack structure of conjugacy classes in simple Suzuki and Ree groups determine which are kthulhu. Combining these results with abelian techniques, we show that only finite-dimensional complex pointed Hopf algebras over their group algebras.

Novel direct C-H borylations of 7-deazapurines to position 8 by B2pin2 under Ir catalysis were followed by Suzuki cross-couplings with aryl halides and other functional group transformations to give diverse 8-substituted 7-deazaadenines.

A cascade Suzuki–Miyaura cross-coupling between two non-symmetrical coupling partners gave rise to 9,10-dihydrophenanthrenes with full site-selectivity. The choice of base was critical facilitate the challenging secondary boronate group.

Among cross-coupling reactions, the Suzuki-Miyaura transformation stands out because of its practical advantages, including the commercial availability and low toxicity of the required reagents, mild reaction conditions, and functional group compatibility. Nevertheless, few conditions can be used to cross-couple alkyl boronic acids or esters with aryl halides, especially 2-pyridyl halides. Here...

We prove that no Suzuki group Sz(q) can act line-transitively on a non-trivial %nite linear space. c © 2002 Elsevier B.V. All rights reserved. MSC: 05B05; 20B25

We prove that there exist k in and 0 < epsilon in such that every non-abelian finite simple group G, which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay(G; S) is an epsilon-expander.

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...