Baby_Monster_group Baby_Monster_group

Baby Monster group - Definition and Overview

Related Words: Atlantean, Briareus, Cerberus, Charybdis, Cyclopean, Cyclops, Dracula, Echidna, Frankenstein, Gorgon, Harpy, Herculean, Homeric, Hydra, Mafioso, Medusa, Minotaur, Pegasus, Python, Scylla, Sphinx, Talos, Typhon

In mathematics, the Baby Monster group B (or just Baby Monster) is a group of order

   241 · 313 · 56 · 72 · 11 · 13 · 17 · 19 · 23 · 31 · 47
= 4154781481226426191177580544000000
≈ 4 · 1033.

The Baby Monster group is one of the sporadic groups, and has the second-highest order of these, with the highest order being that of the Monster group. The double cover of the Baby Monster is in fact a subgroup of the Monster group.

The smallest faithful matrix representation of the Baby Monster is of size 4370 over the finite field of order 2.

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