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• W2396608974 abstract "Let N be a finite nontrivial nilpotent group and H a finite centerless permutation group on a finite set Ω (i.e., H acts faithfully on Ω). Let G = N≀H = N|Ω| ⋊ H be the corresponding permutational wreath product of N by H. It is shown that every Coleman automorphism of G is an inner automorphism. This generalizes a well-known result due to Petit Lobao and Sehgal stating that the normalizer property holds for complete monomial groups with nilpotent base groups." @default.
• W2396608974 created "2016-06-24" @default.
• W2396608974 creator A5055940305 @default.
• W2396608974 date "2016-05-19" @default.
• W2396608974 modified "2023-09-26" @default.
• W2396608974 title "Coleman Automorphisms of Permutational Wreath Products" @default.
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• W2396608974 doi "https://doi.org/10.1080/00927872.2015.1087531" @default.
• W2396608974 hasPublicationYear "2016" @default.
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