The group number function: the number of groups of a given order

The group number function: the number of groups of a given order

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John Conway, Princeton University
Fine Hall 224

The group number, gnu(n) of n, is defined to be the number of groups of order n. It is now known for all n < 211. I shall discuss the peculiar properties of this function and of the related function moa(n), defined to be the least number N for which gnu(N)=n.