現代数学の系譜工学物理雑談古典ガロア理論も読む78

[過去ﾛｸﾞ] 現代数学の系譜工学物理雑談古典ガロア理論も読む78 (1002ﾚｽ)
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380: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [] 2019/11/02(土) 10:36:15.87 ID:ZLEqKHqI

>>379

つづき

More surprisingly, the coset space L2(11)/Z/11Z, which has order 660/11 = 60 (and on which the icosahedral group acts) naturally has the structure of a buckeyball, which is used in the construction of the buckyball surface.

History
The groups PSL(2, p) were constructed by Evariste Galois in the 1830s,
and were the second family of finite simple groups, after the alternating groups.[3]
Galois constructed them as fractional linear transforms, and observed that they were simple except if p was 2 or 3;
this is contained in his last letter to Chevalier.[4]
In the same letter and attached manuscripts, Galois also constructed the general linear group over a prime field, GL(ν, p), in studying the Galois group of the general equation of degree p^ν.
The groups PSL(n, q) (general n, general finite field) were then constructed in the classic 1870 text by Camille Jordan, Traite des substitutions et des equations algebriques.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1571400076/380

381: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [] 2019/11/02(土) 10:36:41.19 ID:ZLEqKHqI

>>380
つづき

C60：1996 Nobel Prize in Chemistry でしたね
https://en.wikipedia.org/wiki/Buckminsterfullerene
Buckminsterfullerene
(Redirected from Buckeyball)
History
For this discovery Curl, Kroto, and Smalley were awarded the 1996 Nobel Prize in Chemistry.[12]

Buckminsterfullerene is a type of fullerene with the formula C60. It has a cage-like fused-ring structure (truncated icosahedron) that resembles a soccer ball, made of twenty hexagons and twelve pentagons, with a carbon atom which has one π bond and two single bonds at each vertex of each polygon and a bond along each polygon edge.

Contents
1 Preparation and occurrence
2 Etymology
3 History
4 Synthesis
5 Structure
6 Properties
6.1 Solution
6.2 Solid
7 Chemical reactions and properties
7.1 Hydrogenation
7.2 Halogenation
7.3 Addition of oxygen atoms
7.4 Cycloadditions
7.5 Free radical reactions
7.6 Cyclopropanation (Bingel reaction)
7.7 Redox reactions - C60 anions and cations
7.7.1 C60 anions
7.7.2 C60 cations
7.8 Metal complexes
7.9 Endohedral fullerenes
8 Applications

つづく

http://rio2016.5ch.net/test/read.cgi/math/1571400076/381

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