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arXiv · 2506.08904

Class-preserving Coleman Automorphisms of Finite Groups with Semidihedral Sylow 2-Subgroups

Riccardo Aragona
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Abstract

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.

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Riccardo Aragona. 2025-06-10. Class-preserving Coleman Automorphisms of Finite Groups with Semidihedral Sylow 2-Subgroups. https://arxiv.org/abs/2506.08904

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