Abstract
To solve problems of Magnus and Stallings stated in the 1960s, we construct a balanced presentation of the trivial group such that no defining relator of this presentation could be replaced by a free generator and the group, given by the altered presentation, would still be trivial. Some other related problems on balanced presentations of the trivial group are discussed.
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Mathematics Subject Classification (2000)
20F05, 20F06, 57M20
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Ivanov, S. On balanced presentations of the trivial group. Invent. math. 165, 525–549 (2006). https://doi.org/10.1007/s00222-005-0497-1
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DOI: https://doi.org/10.1007/s00222-005-0497-1