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https://github.com/kalmarek/SmallHyperbolic
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add grups555
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parent
2a7d121e13
commit
29c4e84fac
10
Makefile
10
Makefile
@ -6,12 +6,14 @@ GROUPS344 = 14_40_40_0 14_40_48_0 14_40_54_0 14_40_54_2 14_48_48_0 14_48_48_1 14
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GROUPS444 = 40_40_40_0 40_40_48_0 40_40_54_0 40_48_48_0 40_48_54_0 40_48_54_2 40_54_54_0 40_54_54_2 40_54_54_8 48_48_48_0 48_48_48_1 48_48_54_0 48_54_54_0 48_54_54_2 48_54_54_8 54_54_54_0 54_54_54_2
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GROUPS555 = H_1 H_2 H_3 H_4 H_5 H_6 H_7 H_8
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JULIA = /opt/bin/julia
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.PHONY: allgroups groups333 groups334 groups344 groups444 $(GROUPS334) $(GROUPS344) $(GROUPS444)
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.PHONY: allgroups groups333 groups334 groups344 groups444 groups555 $(GROUPS334) $(GROUPS344) $(GROUPS444) $(GROUPS555)
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allgroups: groups334 groups344 groups444
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allgroups: groups334 groups344 groups444 group555
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groups333: $(GROUPS333)
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@ -21,7 +23,9 @@ groups344: $(GROUPS344)
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groups444: $(GROUPS444)
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$(GROUPS333) $(GROUPS334) $(GROUPS344) $(GROUPS444):
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groups555: $(GROUPS555)
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$(GROUPS333) $(GROUPS334) $(GROUPS344) $(GROUPS444) $(GROUPS555):
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@echo "Checking property (T) for" $@
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@mkdir -p log
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$(JULIA) --project=. runcomputations.jl $@ &>> log/$@.log
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22
data/presentations_5_5_5.txt
Normal file
22
data/presentations_5_5_5.txt
Normal file
@ -0,0 +1,22 @@
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/////////////
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/// Groups with property (T), hyperbolicity unknown
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/////////////
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// H_1
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H_1:=Group<a, b, c |a^5, b^5, c^5, comm(a, b, a), comm(a, b, b), comm(b,c,b),comm(b,c,c), comm(a,c,a), comm(a,c,c)>;
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// H_2
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H_2:=Group<a, b, c |a^5, b^5, c^5, a^-1 * b * a * b^-1 * a * b, b^-2 * a * b * a * b^-2 * a^2, comm(b,c,b),comm(b,c,c), comm(a,c,a),comm(a,c,c)>;
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// H_3
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H_3:=Group<a, b, c |a^5, b^5, c^5, a^-1 * b * a * b^-1 * a * b, b^-2 * a * b * a * b^-2 * a^2, b^-1 * c * b * c^-1 * b * c, c^-2 * b * c * b * c^-2 * b^2, comm(a,c,a),comm(a,c,c)>;
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// H_4
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H_4:=Group<a, b, c |a^5, b^5, c^5, a^-1 * b * a * b^-1 * a * b, b^-2 * a * b * a * b^-2 * a^2, b^-1 * c * b * c^-1 * b * c, c^-2 * b * c * b * c^-2 * b^2, a^-1 * c * a * c^-1 * a * c, c^-2 * a * c * a * c^-2 * a^2>;
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/////////////
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/// Infinite hyperbolic groups, property (T) unknown
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/////////////
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// H_5
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H_5:=Group<a, b, c |a^5, b^5, c^5, comm(a, b, a), comm(a, b, b), comm(b,c,b),comm(b,c,c), comm(a,c,a),comm(a,c,c,a),comm(a,c,c,c)>;
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// H_6
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H_6:=Group<a, b, c |a^5, b^5, c^5, a^-1 * b * a * b^-1 * a * b, b^-2 * a * b * a * b^-2 * a^2, comm(b,c,b),comm(b,c,c), comm(a,c,a),comm(a,c,c,a),comm(a,c,c,c)>;
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// H_7
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H_7:=Group<a, b, c |a^5, b^5, c^5, comm(a, b, a), comm(a, b, b), b^-1 * c * b * c^-1 * b * c, c^-2 * b * c * b * c^-2 * b^2, comm(a,c,a), comm(a,c,c,a), comm(a,c,c,c)>;
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//H_8
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H_8:=Group<a, b, c |a^5, b^5, c^5, a^-1 * b * a * b^-1 * a * b, b^-2 * a * b * a * b^-2 * a^2, b^-1 * c * b * c^-1 * b * c, c^-2 * b * c * b * c^-2 * b^2, comm(a,c,a), comm(a,c,c,a), comm(a,c,c,c)>;
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@ -37,8 +37,10 @@ groups333 = parse_grouppresentations("data/presentations_3_3_3.txt")
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groups334 = parse_grouppresentations("data/presentations_3_3_4.txt")
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groups344 = parse_grouppresentations("data/presentations_3_4_4.txt")
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groups444 = parse_grouppresentations("data/presentations_4_4_4.txt")
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groups555 = parse_grouppresentations("data/presentations_5_5_5.txt")
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groups = merge(groups333, groups334, groups344, groups444)
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groups = merge(groups333, groups334, groups344, groups444, groups555)
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@assert length(ARGS) == 1
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