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authorUlli Kehrle <ulli.kehrle@rwth-aachen.de>2018-11-08 12:06:53 +0100
committerUlli Kehrle <ulli.kehrle@rwth-aachen.de>2018-11-08 12:06:53 +0100
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@@ -5,7 +5,7 @@ The algorithm was described by Bernd Schmalz in [1, Theorem 3.1.1].
Solutions of some problems in group theory can relatively easy be transferred to a sub- or supergroup if the index is small.
Let G be a permutation group on the set {1,…,n}.
-So one might try to find a series of subgroups G = H₀,…,Hₖ = Sₙ of the symmetric group Sₙsuch that Hᵢ₋₁ is a subgroup of Hᵢfor every i and transfer the solution of a problem for the symmetric group step by step to G.
+So one might try to find a series of subgroups G = H₀,…,Hₖ = Sₙ of the symmetric group Sₙsuch that Hᵢ₋₁ is a subgroup of Hᵢ for every i and transfer the solution of a problem for the symmetric group step by step to G.
Sometimes it is not possible to find such a series with small indices between consecutive subgroups.
This is where subgroup ladders may make sense: