I quite often use the SmallGroups library in GAP while collating lists
of graphs with various properties.
The questions are:
- is the order in which the groups appear arbitrary or are
there some principles underlying it? I notice that the
abelian groups don't seem to appear as the first few groups
of each order; this is mildly surprising for lists of groups,
but maybe there is a deeper underlying principle of which I
am not aware.- is this order guaranteed to remain unchanged (so that if I
refer in a paper to "the 5044th group of order 512" then this
can definitely be recovered by the future reader)
gordon
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Dr. Gordon F Royle, http://www.cs.uwa.edu.au/~gordon, gordon@cs.uwa.edu.au
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