After trying to track down some strange behavior in a program, I was
surprised to find the names of the first two primitive groups of size 10:
gap> PrimitiveGroup(10, 1);
A(5)
gap> PrimitiveGroup(10, 2);
S(5)
These are, unsurprisingly, the same names as:
gap> PrimitiveGroup(5,4);
A(5)
gap> PrimitiveGroup(5,5);
S(5)
Out of curiosity, are these groups related in some non-obvious way, and
is there any reason the names of the primitive groups are not unique?
Chris
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