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- Title
COLEMAN AUTOMORPHISMS OF STANDARD WREATH PRODUCTS OF NILPOTENT GROUPS BY GROUPS WITH PRESCRIBED SYLOW 2-SUBGROUPS.
- Authors
LI, ZHENGXING; HAI, JINKE
- Abstract
Let G = NH be the standard wreath product of N by H, where N is a finite nilpotent group and H is a finite group whose Sylow 2-subgroups are either cyclic, dihedral or generalized quaternion. It is shown that every Coleman automorphism of G is inner. As a direct consequence of this result, it is obtained that the normalizer property holds for G.
- Subjects
AUTOMORPHISMS; ISOMORPHISM (Mathematics); GROUP products (Mathematics); NILPOTENT groups; GROUP theory; SYLOW subgroups; FINITE groups
- Publication
Journal of Algebra & Its Applications, 2014, Vol 13, Issue 5, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498813501569