Nonresidually finite one-relator groups
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- by Stephen Meskin PDF
- Trans. Amer. Math. Soc. 164 (1972), 105-114 Request permission
Abstract:
The study of one-relator groups includes the connections between group properties and the form of the relator. In this paper we discuss conditions on the form ${u^{ - 1}}{v^l}u{v^m}$ which force the corresponding one-relator groups to be nonresidually finite, i.e. the intersection of the normal subgroups of finite index to be nontrivial. Moreover we show that these forms can be detected amongst the words of a free group.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 164 (1972), 105-114
- MSC: Primary 20.10
- DOI: https://doi.org/10.1090/S0002-9947-1972-0285589-5
- MathSciNet review: 0285589