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Fixed point free automorphism groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 573)

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References

  1. T.R. Berger, "Automorphisms of solvable groups", J. Algebra 27 (1973), 311–340. MR50#476.

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  2. Thomas R. Berger, "Nilpotent fixed point free automorphism groups of solvable groups", Math. Z. 131 (1973), 305–312. MR49#2940.

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  3. T.R. Berger, "Characters and derived length in groups of odd order", J. Algebra (to appear).

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  4. T.R. Berger, "Hall-Higman type theorems V", Pacific J. Math. (to appear).

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  5. T.R. Berger, "Irreducible modules of solvable groups are algebraic", Proc. Park City Group Theory Conf., 1975 (to appear).

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  6. T.R. Berger and F. Gross, "2-length and derived length of a Sylow 2-subgroup", Proc. London Math. Soc. (to appear).

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  7. P. Hall and Graham Higman, "On the p-length of p-soluble groups and reduction theorems for Burnside's problem", Proc. London Math. Soc. (3) 6 (1956), 1–42. MR17,344.

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  8. Ernest E. Shult, "On groups admitting fixed point free abelian operator groups", Illinois J. Math. 9 (1965), 701–720. MR32#1269.

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  9. John Thompson, "Finite groups with fixed-point-free automorphisms of prime order", Proc. Nat. Acad. Sci. USA 45 (1959), 578–581. MR21#3484.

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© 1977 Springer-Verlag

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Berger, T.R. (1977). Fixed point free automorphism groups. In: Bryce, R.A., Cossey, J., Newman, M.F. (eds) Group Theory. Lecture Notes in Mathematics, vol 573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087807

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  • DOI: https://doi.org/10.1007/BFb0087807

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