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4 votes
0 answers
65 views

Is there an algorithm to check that a subgroup of a CAT$(0)$ group is *not* quasiconvex?

Let $G$ be a finitely generated CAT$(0)$ group and $H$ a subgroup. If $H$ is quasiconvex then it is finitely generated, so we can immediately conclude that any non-finitely generated subgroup of $G$ ...
David Sheard's user avatar
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3 votes
1 answer
1k views

Converting a (signed) permutation to a reduced word

I vaguely know that by looking at the inversions of a permutation, you can write down the reduced word expressing the permutation as a product of adjacent transpositions $s_i = (i,i+1)$. However, I ...
Jack Schmidt's user avatar
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