Class-preserving Coleman Automorphisms of Finite Groups with Semidihedral Sylow 2-Subgroups
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908870994034688 |
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| author | Aragona, Riccardo |
| author_facet | Aragona, Riccardo |
| contents | 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 class-preserving Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08904 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Class-preserving Coleman Automorphisms of Finite Groups with Semidihedral Sylow 2-Subgroups Aragona, Riccardo Group Theory Rings and Algebras 20D45, 20D20, 16U70 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 class-preserving Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups. |
| title | Class-preserving Coleman Automorphisms of Finite Groups with Semidihedral Sylow 2-Subgroups |
| topic | Group Theory Rings and Algebras 20D45, 20D20, 16U70 |
| url | https://arxiv.org/abs/2506.08904 |