The order of the automorphism group of a central product
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- by Kenneth G. Hummel PDF
- Proc. Amer. Math. Soc. 47 (1975), 37-40 Request permission
Abstract:
If a $p$-group $G$ is the central product of nontrivial subgroups $H$ and $A$, where $A$ is abelian and $o(H)|o(\operatorname {Aut} H)$, then $o(G)|o(\operatorname {Aut} G)$.References
- Richard M. Davitt, The automorphism group of finite $p$-abelian $p$-groups, Illinois J. Math. 16 (1972), 76β85. MR 308264
- Ralph Faudree, A note on the automorphism group of a $p$-group, Proc. Amer. Math. Soc. 19 (1968), 1379β1382. MR 248224, DOI 10.1090/S0002-9939-1968-0248224-2
- Albert D. Otto, Central automorphisms of a finite$p$-group, Trans. Amer. Math. Soc. 125 (1966), 280β287. MR 204523, DOI 10.1090/S0002-9947-1966-0204523-4
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 37-40
- DOI: https://doi.org/10.1090/S0002-9939-1975-0352253-1
- MathSciNet review: 0352253