## Symmetry and the Monster: One of the greatest quests of mathematicsImagine a giant snowflake in 196,884 dimensions... This is the story of a mathematical quest that began two hundred years ago in revolutionary France, led to the biggest collaboration ever between mathematicians across the world, and revealed the 'Monster' - not monstrous at all, but a structure of exquisite beauty and complexity. Told here for the first time in accessible prose, it is a story that involves brilliant yet tragic characters, curious number 'coincidences' that led to breakthroughs in the mathematics of symmetry, and strange crystals that reach into many dimensions. And it is a story that is not yet over, for we have yet to understand the deep significance of the Monster - and its tantalizing hints of connections with the physical structure of spacetime. Once we understand the full nature of the Monster, we may well have revealed a whole new and deeper understanding of the nature of our Universe. |

### What people are saying - Write a review

#### LibraryThing Review

User Review - fpagan - LibraryThingThe story of the effort to classify all the finite simple groups, including the ~1980 nailing-down of the "monster" group whose size is the 54-digit number with prime factorization 2^46 ˇ 3^20 ˇ 5^9 ... Read full review

#### Symmetry and the Monster

User Review - dzankudzanku - Overstock.comEasy reading. Very good. I wish it had been a bit more technical and the authors use of the word atoms out of context was upsetting. There was a typo in one of the appendices but other than that it was a fascinating book. I wish I could find others on the same topic but a little more technical. Read full review

### Contents

Death of a Genius | |

3Irrational Solutions | |

4Groups | |

5Sophus Lie | |

6Lie Groups and Physics | |

7Going Finite | |

13Fischers Monsters | |

14The Atlas | |

15A Monstrous Mystery | |

16Construction | |

17Moonshine | |

Notes | |

Appendix 1The Golden Section | |

Appendix 2The Witt Design | |

### Other editions - View all

Symmetry and the Monster : One of the greatest quests of mathematics: One of ... Mark Ronan No preview available - 2006 |

### Common terms and phrases

24 dimensions algebraic arithmetic Aschbacher Atlas atoms of symmetry Baby Monster block Borcherds Bourbaki called Cambridge Cartan Cauchy character table Chevalley classification construction Conway’s coordinates cross-section cube cyclic groups deconstructed discovered electron equations of degree Évariste Évariste Galois example exceptional symmetry atoms families Feit Fields Medal finite symmetry atoms Fischer Galois Galois’s geometry Germany Gorenstein Griess group of permutations group of symmetries group theory idea j-function Jacques Tits Janko Klein later Leech Lattice Lie groups Lie’s mathematician mathematician named mathematics Mathieu’s group McKay method mirror symmetries modular group Moonshine moved multi-crystals needed number of dimensions number theory objects operations pair paper Paris plane prime numbers problem proof proved published quantum Richard Brauer rotation simple groups solutions Sophus Lie space square started string theory student sub-group symbols symmetry atoms symmetry group Tartaglia technical theorem things Thompson three dimensions transpositions University vertex vertices whole numbers wrote