[GAP Forum] Naming of Primitive Groups

Chris Jefferson caj21 at st-andrews.ac.uk
Sun Nov 10 19:54:30 GMT 2013


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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