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- Title
Class-preserving coleman automorphisms of permutational wreath products with -closed base groups.
- Authors
Li, Zhengxing; Li, Yuanlin
- Abstract
Let be a nontrivial -closed group and let be an arbitrary permutation group on a finite set . Let be the corresponding permutational wreath product of by . It is shown that every class-preserving Coleman automorphism of -power order of is inner. As a direct consequence, it is obtained that the normalizer property holds for . Further, it is shown that every class-preserving Coleman automorphism of is inner whenever is nilpotent. Our results generalize some known ones.
- Subjects
WREATH products (Group theory); AUTOMORPHISMS; PERMUTATIONS; PERMUTATION groups; NILPOTENT groups
- Publication
Journal of Algebra & Its Applications, 2016, Vol 15, Issue 10, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498816501899