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• W2609728038 abstract "Let G be a finite group. It is proved that any class-preserving Coleman automorphism of G is an inner automorphism whenever G belongs to one of the following two classes of groups: (1) CN-groups, i.e., groups in which the centralizer of any element is nilpotent; (2) CIT-groups, i.e., groups of even order in which the centralizer of any involution is a 2-group. In particular, the normalizer conjecture holds for both CN-groups and CIT-groups. Additionally, some other results are also obtained." @default.
• W2609728038 created "2017-05-05" @default.
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• W2609728038 date "2017-04-23" @default.
• W2609728038 modified "2023-09-27" @default.
• W2609728038 title "Class-Preserving Coleman Automorphisms of Finite Groups with Prescribed Centralizers" @default.
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• W2609728038 doi "https://doi.org/10.1142/s1005386717000219" @default.
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