Strong indecomposability of the outer automorphism groups of nonabelian free profinite groups
Abstract In this paper, we prove that the outer automorphism groups of nonabelian topologically finitely generated free profinite groups are strongly indecomposable. This means that no open subgroup has a nontrivial direct product decomposition.
Authors
- Shota Tsujimura (ORCID: https://orcid.org/0000-0002-2828-4178)
- Arata Minamide
Institutions
- Kyoto University (JP)
- Zen-Noh (Japan) (JP)
Publication Details
- Journal
- Journal of Group Theory
- Published
- 2025-05-22
- DOI
- https://doi.org/10.1515/jgth-2024-0153
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council
- Japan Society for the Promotion of Science