Class-preserving Coleman Automorphisms of Finite Groups with Semidihedral Sylow 2-Subgroups
In this paper, we prove that finite groups with semidihedral Sylow 2-subgroup have Class-preserving Coleman outer automorphism group of odd order. As a consequence, these groups satisfy the normalizer problem. In particular, we extend some existing results in the literature concerning classpreserving Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups.
Authors
- Riccardo Aragona (ORCID: https://orcid.org/0000-0001-8834-4358)
Institutions
- Twitter (United States) (US)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2026-06-19
- DOI
- https://doi.org/10.1142/s0219498827502756
- Primary Topic
- Finite Group Theory Research
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00