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arxiv: 0904.0724 · v3 · pith:MDEF3DDRnew · submitted 2009-04-04 · 🧮 math.GR · math.GT

Virtually geometric words and Whitehead's algorithm

classification 🧮 math.GR math.GT
keywords geometricvirtuallywordsquestionalgorithmbbaaccabccollectionsconsider
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Motivated by a question of Gordon and Wilton, we consider the question of which collections of words are "virtually geometric". In particular, we prove that some words (e.g. bbaaccabc) are not virtually geometric.

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