Virtually geometric words and Whitehead's algorithm

Mathematics – Group Theory

Scientific paper

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9 pages, 2 figures. (v2) Corrected statement of Theorem 2.4, and rewrote Remark 1.5 slightly (v3) Some improvements to the exp

Scientific paper

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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