The Friendly Giant - Netflix

In his castle, a giant and his friends tell stories and play music for the young viewers.

The Friendly Giant - Netflix

Type: Scripted

Languages: English

Status: Ended

Runtime: 30 minutes

Premier: 1958-09-30

The Friendly Giant - Monster group - Netflix

In the area of modern algebra known as group theory, the Monster group M (also known as the Fischer–Griess Monster, or the Friendly Giant) is the largest sporadic simple group, having order

246 · 320 · 59 · 76 · 112 · 133 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71

= 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 ≈ 8×1053. The finite simple groups have been completely classified. Every such group belongs to one of 18 countably infinite families, or is one of 26 sporadic groups that do not follow such a systematic pattern. The Monster group contains 19 other sporadic groups as subquotients. Robert Griess has called those 20 groups the happy family, and the remaining 6 exceptions pariahs. It is difficult to make a good constructive definition of the Monster because of its complexity. Martin Gardner wrote a popular account of the monster group in his June 1980 Mathematical Games column in Scientific American.

The Friendly Giant - McKay's E8 observation - Netflix

E                ~                                                          8                          ,              {\displaystyle {\tilde {E}}{8},}   specifically between the nodes of the diagram and certain conjugacy classes in the Monster, known as McKay's E8 observation. This is then extended to a relation between the extended diagrams                                                                         E                ~                                                          6                          ,                                                            E                ~                                                          7                          ,                                                            E                ~                                                          8                                {\displaystyle {\tilde {E}},{\tilde {E}}{7},{\tilde {E}}}   and the groups 3.Fi24', 2.B, and M, where these are (3/2/1-fold central extensions) of the Fischer group, Baby Monster group, and Monster. These are the sporadic groups associated with centralizers of elements of type 1A, 2A, and 3A in the Monster, and the order of the extension corresponds to the symmetries of the diagram. See ADE classification: trinities for further connections (of McKay correspondence type), including (for the Monster) with the rather small simple group PSL(2,11) and with the 120 tritangent planes of a canonic sextic curve of genus 4 known as Bring's curve.

There are also connections between the Monster and the extended Dynkin diagrams

The Friendly Giant - References - Netflix