2024/105/1-2 (4)
—
DOI: 10.5486/PMD.2024.9649
—
pp. 59-66
Class-preserving Coleman automorphisms of Frobenius groups
Authors:
Zhengxing Li and Yuanlin Li 
Abstract:
Let $G$ be a Frobenius group. It is proved that every class-preserving Coleman automorphism of $G$ is an inner automorphism. This generalizes a result due to
Petit Lobão and Polcino Milies which states that the normalizer conjecture holds for $G$.
Keywords: class-preserving automorphism, Coleman automorphism, the normalizer property
Mathematics Subject Classification: 20D45, 16S34