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authorUlli Kehrle <ulli.kehrle@rwth-aachen.de>2018-11-08 12:48:17 +0100
committerUlli Kehrle <ulli.kehrle@rwth-aachen.de>2018-11-08 12:48:17 +0100
commitbfac88769e4788626e3166d7d6f4a3392ac9dbcc (patch)
treef9d25ad1a6052fabf9d3eba5b53bac1db0c1fc98
parentaf197de3f2f5581ccfbd1810074dbddd2b3a86a0 (diff)
downloadsubgroup-ladders-bfac88769e4788626e3166d7d6f4a3392ac9dbcc.tar.gz
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README: replace unicode S_n with ascii one.
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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 = H_0,...,H_k = Sₙ of the symmetric group S_nsuch that H_{i-1} is a subgroup of H_i for 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 = H_0,...,H_k = S_n of the symmetric group S_nsuch that H_{i-1} is a subgroup of H_i 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: