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# Category:Facts about coprime automorphism groups of finite groups

From Groupprops

## Pages in category "Facts about coprime automorphism groups of finite groups"

The following 7 pages are in this category, out of 7 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### C

- Centralizer of coprime automorphism group in homomorphic image equals image of centralizer if either is solvable
- Centralizer of coprime automorphism in homomorphic image equals image of centralizer
- Centralizer-commutator product decomposition for finite groups
- Commutator of finite group with coprime automorphism group equals second commutator