kalmar/Groups.jl
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test for abelianize of Identity

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kalmarek 2020-04-20 02:44:28 +02:00
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test/AutGroup-tests.jl
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@ -266,6 +266,8 @@
@test Groups.abelianize(σ^3) == Matrix{Int}(I, N, N) @test Groups.abelianize(σ^3) == Matrix{Int}(I, N, N)
@test Groups.abelianize(σ)^3 == Matrix{Int}(I, N, N) @test Groups.abelianize(σ)^3 == Matrix{Int}(I, N, N)
@test Groups.abelianize(G(Groups.id_autsymbol())) == Matrix{Int}(I, N, N)
function test_homomorphism(S, r) function test_homomorphism(S, r)
for elts in Iterators.product([[g for g in S] for _ in 1:r]...) for elts in Iterators.product([[g for g in S] for _ in 1:r]...)
prod(Groups.abelianize.(elts)) == Groups.abelianize(prod(elts)) || error("linear representaton test failed at $elts") prod(Groups.abelianize.(elts)) == Groups.abelianize(prod(elts)) || error("linear representaton test failed at $elts")