Abstract
A one-relator group with lower central series of length ω2 is constructed. This answers a problem of G. Baumslag.
MSC: 20B07
Funding source: Chebyshev Laboratory (Department of Mathematics and Mechanics, St. Petersburg State University
Award Identifier / Grant number: 11.G34.31.0026
Funding source: JSC “Gazprom Neft”
Funding source: RF Presidential
Award Identifier / Grant number: MD-381.2014.1
The author thanks G. Baumslag, S. O. Ivanov, F. Petrov and K. Orr for discussions related to the subject of the paper.
Received: 2014-6-14
Revised: 2014-9-18
Published Online: 2015-1-10
Published in Print: 2016-3-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Ring class invariants over imaginary quadratic fields
- The structure of p-local compact groups of rank 1
- Sampling and interpolation on some nilpotent Lie groups
- Topology of moduli spaces of free group representations in real reductive groups
- Finite symmetries of S4
- Variations of Minkowski's theorem on successive minima
- A one-relator group with long lower central series
- On transfinite nilpotence of the Vogel–Levine localization
- Time inhomogeneous generalized Mehler semigroups and skew convolution equations
- Specifying the Auslander–Reiten translation for complexes of modules
- Second order elliptic operators with diffusion coefficients growing as |x|α at infinity
- On the fourth derivative test for exponential sums
Articles in the same Issue
- Frontmatter
- Ring class invariants over imaginary quadratic fields
- The structure of p-local compact groups of rank 1
- Sampling and interpolation on some nilpotent Lie groups
- Topology of moduli spaces of free group representations in real reductive groups
- Finite symmetries of S4
- Variations of Minkowski's theorem on successive minima
- A one-relator group with long lower central series
- On transfinite nilpotence of the Vogel–Levine localization
- Time inhomogeneous generalized Mehler semigroups and skew convolution equations
- Specifying the Auslander–Reiten translation for complexes of modules
- Second order elliptic operators with diffusion coefficients growing as |x|α at infinity
- On the fourth derivative test for exponential sums