IMPARTIAL GAMES FOR GENERATING FINITE GROUPS

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Nim values

Nimbers for the DNG(G) and GEN(G) games are available in the tab separated file: results.zip

File format

The file has the following format:

numbersizenameabelianIdGroup(G)nim(DNG(G))nim(GEN(G))
1 2 C2 true [2,1] 1 2
2 3 C3 true [3,1] 1 2
3 4 C4 true [4,1] 0 1
4 4 C2xC2 true [4,2] 0 1
vdots
100000 512 (((C8xC2):C2):C8):C2 false [512,7197] 0 0

Group creation

A group with IdGroup [n,i] can be created in GAP using the following command:

G:=SmallGroup(n,i);
IdGroup(G);
StructureDescription(G);