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Bug in MinimalGeneratingSet #5771

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hulpke opened this issue Aug 3, 2024 · 0 comments
Open

Bug in MinimalGeneratingSet #5771

hulpke opened this issue Aug 3, 2024 · 0 comments
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kind: bug: wrong result Issues describing bugs that result in mathematically or otherwise wrong results, and PRs fixing them priority: high status: awaiting response Issues and PRs whose progress is stalled awaiting a response from (usually) the author

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@hulpke
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hulpke commented Aug 3, 2024

Extracted from an example created by L. Soicher. Create a group (Order 3888)

a:=function()
local g1,g2,g3,g4,g5,g6,g7,g8,g9,r,f,g,rws,x;
f:=FreeGroup(IsSyllableWordsFamily,9);
g:=GeneratorsOfGroup(f);
g1:=g[1];g2:=g[2];g3:=g[3];g4:=g[4];g5:=g[5];
g6:=g[6];g7:=g[7];g8:=g[8];g9:=g[9];
rws:=SingleCollector(f,[ 2, 2, 2, 2, 3, 3, 3, 3, 3 ]);
r:=[];
for x in r do SetPower(rws,x[1],x[2]);od;
r:=[[5,1,g5],[9,1,g9],[5,2,g5],[6,2,g6],[7,2,g7],[8,2,g8],[9,2,g9],
[6,3,g6],[7,3,g7],[8,3,g8],[5,4,g5],[6,4,g6],[7,4,g7],[8,4,g8],[9,4,g9],];
for x in r do SetCommutator(rws,x[1],x[2],x[3]);od;
return GroupByRwsNC(rws);
end;
a:=a();

Then

gap> m:=MinimalGeneratingSet(a);;Length(m);
5
gap> Index(a,SubgroupNC(a,m{[1,3,4,5]}));
1
@hulpke hulpke added the kind: bug: wrong result Issues describing bugs that result in mathematically or otherwise wrong results, and PRs fixing them label Aug 3, 2024
@hulpke hulpke added status: awaiting response Issues and PRs whose progress is stalled awaiting a response from (usually) the author priority: high labels Oct 2, 2024
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Labels
kind: bug: wrong result Issues describing bugs that result in mathematically or otherwise wrong results, and PRs fixing them priority: high status: awaiting response Issues and PRs whose progress is stalled awaiting a response from (usually) the author
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