# Unique product groups and congruence subgroups

@article{Craig2020UniquePG, title={Unique product groups and congruence subgroups}, author={William Craig and Peter A. Linnell}, journal={arXiv: Group Theory}, year={2020} }

We prove that a uniform pro-p group with no nonabelian free subgroups has a normal series with torsion-free abelian factors. We discuss this in relation to unique product groups. We also consider generalizations of Hantzsche-Wendt groups.

#### 2 Citations

Examples of non connective C*-algebras

- Mathematics
- Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
- 2021

Abstract This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through… Expand

Properties of the combinatorial Hantzsche-Wendt groups

- Mathematics
- 2021

The combinatorial Hantzsche-Wendt group Gn = {x1, ..., xn | x −1 i x 2 jxix 2 j , ∀i 6= j} was defined by W. Craig and P. A. Linnell in [2]. For n = 2 it is a fundamental group of 3-dimensional… Expand

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