Expansion of normal subsets of odd‐order elements in finite groups
Abstract Let be a finite group and a normal subset consisting of odd‐order elements. The rational closure of , denoted , is the set of elements with the property that for some in . If , we prove that is soluble.
Authors
- Christopher Parker (ORCID: https://orcid.org/0000-0003-3437-2876)
- Jack Saunders
Institutions
- University of Bristol (GB)
- Heilbronn Institute for Mathematical Research (GB)
- University of Birmingham (GB)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2026-04-01
- DOI
- https://doi.org/10.1112/jlms.70534
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council
- Division of Mathematical Sciences