By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fai...

ISSN: 1058-6458 (Print) 1944-950X (Online) Journal homepage: http://www.tandfonline.com/loi/uexm20 Exponential Sums, Ree Groups and Suzuki Groups: Conjectures Nicholas M. Katz To cite this article: Nicholas M. Katz (2017): Exponential Sums, Ree Groups and Suzuki Groups: Conjectures, Experimental Mathematics, DOI: 10.1080/10586458.2017.1334246 To link to this article: http://dx.doi.org/10.1080/1...

In this paper, we prove some multivalued Caristi type fixed point theorems. These results generalize the corresponding generalized Caristi’s fixed point theorems due to Kada-Suzuki-Takahashi (1996), Bae (2003), Suzuki (2005), Khamsi (2008) and others. 2000 Mathematics Subject Classification: 47H09, 54H25.

(+)-Fastigiatine was assembled in six steps from (R)-5-methylcyclohex-2-en-1-one. Intermolecular Diels-Alder reaction introduced most of the carbon atoms for the target. The two Boc-protected nitrogen atom building blocks were introduced by a Suzuki coupling and a cuprate addition. A biomimetic transannular Mannich reaction generated the two quaternary centers at a late stage. Each step builds ...

Background Although chronic rhinosinusitis (CRS) is a multifactorial disease in a heterogenous group of diseases, with different underlying etiologies and pathophysiologies, Japanese patients with CRS with nasal polyps are known to show two distinct phenotypes, i) tissue eosinophilia characterized by Th2-polarization (Ahmed & Ikeda, 2005) and marked expression of eotaxins (Yao, Ikeda, et al., 2...

flory fox, kurata-stockmayer, berry, inagaki-suzuki-kurata, stockmayer-fixman and ahmad-baloch methods based on the excluded volume theory have been applied to poly(vinyl chloride)-cyclohexanone system to obtain kq and the radius of gyration. a discussion on the reliability of these methods is given. the stockmayer-fixman and ahmad-baloch methods are found to be equally applicable.

We obtain the following characterization of the solvable radicalR(G) of any finite group G: R(G) coincides with the collection of all g ∈ G such that for any 3 elements a1, a2, a3 ∈ G the subgroup generated by the elements g, aiga i , i = 1, 2, 3, is solvable. In particular, this means that a finite group G is solvable if and only if in each conjugacy class of G every 4 elements generate a solv...

An on-shell formulation of (p, q), 2 ≤ p ≤ 4, 0 ≤ q ≤ 4, supersymmetric coset models with target space the group G and gauge group a subgroup H of G is given. It is shown that there is a correspondence between the number of supersymmetries of a coset model and the geometry of the coset space G/H . The algebras of currents of supersymmetric coset models are superconformal algebras. In particular...