𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Valuations of glued near hexagons

✍ Scribed by Bart De Bruyn

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
155 KB
Volume
15
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Valuations of near polygons were introduced in [12] as an important tool for classifying dense near polygons. In the present article, we will introduce the class of the semi‐diagonal valuations. These valuations live in glued near hexagons. A glued near hexagon S can be coordinatized by a pair of admissible triples; such triples consist of a Steiner system ${\cal L}$, a group G, and a certain nice map $\Delta :{\cal L} \times {\cal L} \to G$. We will give a necessary and sufficient condition for the existence of semi‐diagonal valuations in ${\cal S}$ in terms of these two admissible triples. For two classes of glued near hexagons, we will use this condition to determine all semi‐diagonal valuations. Each semi‐diagonal valuation will also give rise to a hyperplane of the glued near hexagon. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 35–48, 2007

📜 SIMILAR VOLUMES

The valuations of the near hexagons rela
The valuations of the near hexagons related to the Witt designs S(5,6,12) and S(5,8,24)
✍ Bart De Bruyn; Pieter Vandecasteele 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 176 KB

Valuations of dense near polygons were introduced in [16]. In the present paper, we classify all valuations of the near hexagons E 1 and E 2 , which are related to the respective Witt designs Sð5,6,12Þ and Sð5,8,24Þ. Using these classifications, we prove that if a dense near polygon S contains a hex

Bounding the size of near hexagons with
Bounding the size of near hexagons with lines of size 3
✍ Bart De Bruyn 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 150 KB

## Abstract We consider finite near hexagons with lines of size 3, and prove that there are only finitely many examples given the nondegeneracy condition that for each point there exists a point at distance 3 to it. © 2006 Wiley Periodicals, Inc. J Graph Theory 52: 108–122, 2006

Kinetics of proton transfer reactions of
Kinetics of proton transfer reactions of lysozyme with p-nitrophenol near neutral pH—a study of dynamic properties of Glu 35 and His 15
✍ Shin-Ichi Segawa; Yuzuru Husimi; Akiyoshi Wada 📂 Article 📅 1975 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 1001 KB

## Abstract Kinetics of proton transfer between lysozyme and a pH indicator __p__‐nitrophenol (__p__‐Np) were measured by the temperature‐jump method in a pH range of 6.0–7.0. Two well‐defined relaxation processes were observed. The fast process (τ ≃ 15 μsec) was also observed for a lysozyme deriva