History
The existence of this group was suggested by Bernd Fischer in unpublished work in the early 1970s during his investigation of {3,4}-transposition groups: groups generated by a class of transpositions such that the product of any two elements has order at most 4, He investigated its properties and computed its character table. The first construction of the Baby Monster was later realized as a permutation group on 13 571 955 000 points using a computer by Jeffrey Leon and Charles Sims., though Griess later found a computer-free construction using the fact that its double cover is contained in the monster. The name "Baby Monster" was suggested by John Horton Conway.
Read more about this topic: Baby Monster Group
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