Examples of centralizers of automorphism groups
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- by Alexandre Turull PDF
- Proc. Amer. Math. Soc. 91 (1984), 537-539 Request permission
Abstract:
If $AG$ is a finite solvable group with $(\left | A \right |,\left | G \right |) = 1$ and $G \triangleleft AG$, we explore the relationship between the Fitting height of $G$, the composition length of $A$ and the structure of ${C_G}(A)$. For any $A$, we give examples where the difference between the Fitting height of $G$ and that of ${C_G}(A)$ is exactly twice the composition length of $A$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 537-539
- MSC: Primary 20D45; Secondary 20F28
- DOI: https://doi.org/10.1090/S0002-9939-1984-0746084-3
- MathSciNet review: 746084