On balanced presentations of the trivial group

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)525-549
Number of pages25
JournalInventiones Mathematicae
Volume165
Issue number3
DOIs
StatePublished - Sep 1 2006

ASJC Scopus subject areas

  • Mathematics(all)

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