Finite Groups with a Pre-Fixed-Point-Free Power Automorphism

REFERENCES

• Berkovich , Y. ( 2008 ). Groups of Prime Power Order , Vol. 1 . Berlin and New York : Walter de Gruyter .
   Google Scholar
• Cooper , C. D. H. ( 1968 ). Power automorphisms of a group . Math. Z. 107 : 335 – 356 .
   Web of Science ®Google Scholar
• Gorenstein , D. ( 1982 ). Finite Simple Groups . New York : Plenum Press .
   Google Scholar
• Guo , X. , Wang , J. ( 2009 ). On generalized Dedekind groups . Acta Math. Hungar. 122 ( 1–2 ): 37 – 44 .
   Web of Science ®Google Scholar
• Huppert , B. ( 1967 ). Endliche Gruppen I . New York : Springer-Verlag .
   Google Scholar
• Miller , A. ( 1929 ). Possible α-automorphisms of non-abelian groups . Proc. Nat. Acad. Sci. 15 : 89 – 91 .
   PubMedGoogle Scholar
• Rédei , L. ( 1947 ). Das schiefe Produkt in der Gruppentheorie . Comm. Math. Helv. 20 : 225 – 267 .
   Google Scholar
• Robinson , D. J. S. ( 1982 ). A Course in the Theory of Groups . Berlin : Springer-Verlag .
   Google Scholar
• Thompson , J. G. ( 1959 ). Finite groups with fixed-point-free automorphisms of prime order . Proc. Nat. Acad. Sci. 45 : 578 – 581 .
   PubMed Web of Science ®Google Scholar
• Wang , J. , Guo , X. ( 2009 ). Finite groups with its power automorphism groups having small indices . Acta Mathematica Sinica, English Series 25 ( 7 ): 1097 – 1108 .
   Web of Science ®Google Scholar
• Communicated by J. Zhang.
   Google Scholar