PreprintarXiv licencearXiv
Locally indicable groups outside Brodskiĭ's quasivariety
Abstract
We provide a set of group properties that together obstruct membership in the quasivariety that Brodskiĭ constructed in his proof that torsion-free one-relator groups are locally indicable. There are examples of locally indicable groups with these properties, which implies that Brodskiĭ's quasivariety is strictly contained in the quasivariety of all locally indicable groups. This disproves a conjecture of Howie.
Related
- Bandwidth limited functions on locally compact abelian groups
- Poisson actions of noncompact locally compact sofic groups have completely positive sofic entropy
- Pointwise Ergodic Theorems Along Reiter Sequences on Locally Compact Groups
- Sharp Hausdorff--Young inequalities for some locally compact quantum groups
- Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and T-Solvable Groups
BibTeX
@misc{boß2026locally,
title = {{Locally indicable groups outside Brodskiĭ's quasivariety}},
author = {Hannah Boß},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22121},
eprint = {2610.22121},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22121},
}
RIS
TY - UNPB
TI - Locally indicable groups outside Brodskiĭ's quasivariety
AU - Hannah Boß
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22121
UR - https://arxiv.org/abs/2610.22121
AB - We provide a set of group properties that together obstruct membership in the quasivariety that Brodskiĭ constructed in his proof that torsion-free one-relator groups are locally indicable. There are examples of locally indicable groups with these properties, which implies that Brodskiĭ's quasivariety is strictly contained in the quasivariety of all locally indicable groups. This disproves a conjecture of Howie.
ER -